Mensuration

Problem 501

Find the rectangle dimensions and max area with a perimeter of $36 \mathrm{~mm}$ . Dimensions: $\mathbf{mm}$ , Area: $\mathrm{mm}^{2}$ .

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Problem 502

Graig has 200 yards of fencing for a garden next to his house. Find dimensions for max area. Possible: 50x100, 50x50, 50x200.

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Problem 503

Mr. Barton's rectangular garden has a top side of 16 ft, bottom side of 20 ft, and perimeter of 60 ft. Find $x$ .

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Problem 504

A square's perimeter is $8 g+16$ . Which expression matches this perimeter based on the side length? (A) $2(4 g+8)$ (B) $4(2 g+4)$ (C) $4(2 g)+16$ (D) $4(g+2)+4(g+2)$

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Problem 505

Zeichne Strecken von $2 \mathrm{~cm}$ , $3,5 \mathrm{~cm}$ , $4,7 \mathrm{~cm}$ . Prüfe Strecken A, B, C, D auf Richtigkeit. Zeichne Linien durch $P_{1}$ und $P_{2}$ : eine parallel, eine senkrecht zu $g$ . Überprüfe mit Geodreieck.

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Problem 506

Find the actual length and width of an elm leaf beetle if 2 in. in the photo equals $8 \mathrm{~mm}$ and the photo dimensions are $1 \frac{1}{2}$ in. and $\frac{3}{4}$ in.

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Problem 507

A scientist enlarges a photo of an elm leaf beetle. If 2 in. = $8 \mathrm{~mm}$ , find the actual length and width of the beetle from its photo size of $1 \frac{1}{2}$ in. and $\frac{3}{4}$ in.

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Problem 508

Berechnen Sie den Erdaushub ( $\mathrm{m}^{3}$ ), die benötigten Fliesen ( $\mathrm{m}^{2}$ ) und das Wasservolumen in Litern.

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Problem 509

The volume and surface area of a cone are given, respectively, by the formulas $V=\frac{1}{3} \pi r^{2} h_{\text {and }}$ S.A. $=\pi r L+\pi r^{2}$ .What expression represents the surface area-to-volume ratio for a right cone in simplest form. $\frac{3 L+r}{r h}$ $\frac{3 r L+\pi}{h}$ $\frac{3 L+J r}{r h}$ $3 r L+3 \pi$

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Problem 510

This object is composed of a right rectangular prism attached to the side of a larger rig Determine the surface area of the object.

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Problem 511

3 On a map, 1 inch represents 2.5 miles of actual distance. Which statement is true? A A distance of 2.5 inches on the map represents an actual distance of 1 mile. B A distance of 5 inches on the map represents an actual distance of 15 miles. C An actual distance of 20 miles is represented as 2.5 inches on the map.
D An actual distance of 50 miles is represented as 20 inches on the map.

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Problem 512

Petra wants to represent a distance of 400 miles on a piece of notebook paper that is 8.5 inches wide and 11 inches long. She wants to use a scale of $1 \mathrm{in} .=20 \mathrm{mi}$ .
Can Petra make this scale drawing? Why or why not?

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Problem 513

Take It Further
14. Use 6 centimetre cubes. a) Build a composite object. Sketch the object, then determine and record its surface area. b) Use the cubes to build other objects with different surface areas. Sketch each object and record its surface area. c) Determine all the different surface areas for a composite object of 6 cubes. d) Describe the object with the greatest surface area. Describe the object with the least surface area.

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Problem 514

16. Volume: $\qquad$

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Problem 515

Find the area of this parallelogram. Be sure to include the correct unit in your answer. If necessary, refer to the list of geometry formulas.

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Problem 516

15. Ari mengukur diameter bola menggunakan jangka sorong dan hasil pengukurannya seperti gambar berikut.
Volume bola tersebut adalah A. $11,3 \mathrm{~cm}^{3}$ D. $755 \mathrm{~cm}^{3}$ B. $100 \mathrm{~cm}^{3}$ E. $6.040 \mathrm{~cm}^{3}$ C. $741 \mathrm{~cm}^{3}$

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Problem 517

Question 2
Solve the equation or formula for $\boldsymbol{w}$ . Write your answer as an equation. $P=2 \ell+2 w$

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Problem 518

5. A soft drink can has a diameter of 6 cm and a height of 11.5 cm . (a) What is its volume? (b) What is its surface area?

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Problem 519

Assignment Scoring Your last submission is used for your score.
1. [-/1 Points]
DETAILS MY NOTES TANAPMATH7 10.5.001.
Find the dimensions of a rectangle with a perimeter of 120 ft that has the largest possible area. shorter side $\qquad$ ft longer side $\square$ f Enter an exact number. Need Help? Read It $\square$ Submit Answer

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Problem 520

```latex 2.1 Berechne die Körperhöhe $k$ und das Volumen $V$ der Pyramide.
a) $\begin{array}{l} \mathrm{a}=28 \mathrm{~cm} \\ \mathrm{~h}_{\mathrm{a}}=26 \mathrm{~cm} \end{array}$
b) $\mathrm{a}=91 \mathrm{~cm}$
c) $\mathrm{a}=9,6 \mathrm{~cm}$
$\mathrm{h}_{\mathrm{a}}=68 \mathrm{~cm} \quad \mathrm{~h}_{\mathrm{a}}=21,8 \mathrm{~cm}$ ```

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Problem 521

```latex \textbf{Aufgabe:}
Eine Wippe aus Kunststoff hat die abgebildete Form. Obere und untere Berandung können durch Polynome 4. Grades bzw. 2. Grades erfasst werden. Die obere Randkurve läuft horizontal aus. Die Breite der Sitzfläche beträgt 30 cm.
\begin{enumerate} \item[a)] Wie lauten die Gleichungen der Randkurven $f$ und $g$ ? \item[b)] Wie groß ist die Masse der Wippe? (Dichte Kunststoff: $0,7 \, \mathrm{g/cm^3}$ ) \end{enumerate} ```

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Problem 522

2. Сторона ромба равна 12 cm , а один из его углов равен $30^{\circ}$ . Найдите площадь ромба.
3. Найдите площадь прямоугольной трапеции, у которой две

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Problem 523

At basketball practice, the coach had the team run 5 laps around the court. The court has a length of 28 meters and a width of 15 meters. How many meters did the basketball team have to run at practice? Be sure to show your work and write your units.

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Problem 524

Übung 6 Bestimmen Sie $\mathrm{a}>0$ so, dass die von den Graphen der Funktionen $f$ und $g$ eingeschlossene Fläche den angegebenen Inhalt A hat. a) $f(x)=-x^{2}+2 a^{2}$ $\begin{array}{l} g(x)=x^{2} \\ A=72 \end{array}$ b) $f(x)=x^{2}$ c) $f(x)=x^{2}+1$ $g(x)=a x$ $g(x)=\left(a^{2}+1\right) \cdot x^{2}$ $A=\frac{4}{3}$ $\mathrm{A}=\frac{4}{3}$

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Problem 525

Farmer has 5,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer does not fence the side along the river, what is the largest area that can be enclosed?
The largest area that can be enclosed is $\square$ $\square$

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Problem 526

o)

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Problem 527

$=$
Isabelle has a five-sided chicken coop in her yard. Each side has an equal length. What is the total perimeter of the chicken coop if the length of one side is $3 \sqrt{5}$ yards? Recall that the perimeter is the sum of all sides of a shape or boundary. $8 \sqrt{5}$ yards $15 \sqrt{5}$ yards $8 \sqrt{25}$ yards $15 \sqrt{25}$ yards Mark this and return Next Submit ewers/AssessmentViewer/Activit.

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Problem 528

Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box, leaving the top and the bottom without decorations. The unshaded parts of the model and the diagram below show the parts that she decorates. What is the total area that Olivia decorates?
190 square inches 440 square inches 366 square inches 256 square inches

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Problem 529

The Leaning Tower of Pisa is an oblique cylindrical tower with a slant height of 56.84 meters ( m ) long. and leans at an angle of elevation. $x$ , of 86 degrees. The bottom part of the tower has a diameter of 4.2 meters with a slant hight of only 51.64 meters. The top cap of the tower has a diameter of 2.4 meters with a slant hight of 5.2 meters. What is the total volume. to the nearest $m^{3}$ of the tower of pisa?
Your answer. Not there yet. keep working

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Problem 530

Learn with an example • or Watch a video (D)
A cylinder has a height of 19 millimeters and a radius of 18 millimeters. What is its volume? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ cubic millimeters Submit

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Problem 531

A baseball diamond measures 25 meters along each side. If a batter hit 3 home runs in a game, how many kilometers did the batter run? $\qquad$

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Problem 532

A baseball diamond measures 29 meters along each side. If a batter hit 3 triples in a game, how many kiometers the batter run? $\qquad$

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Problem 533

Ein Haus hat eine quadratische Grundfläche mit $a=15 \mathrm{~m}$ und einem pyramidenförmigen Dach mit $h=20 \mathrm{~m}$ . Berechne $h_{a}$ und die benötigte Kupferblechfläche (inkl. $5\%$ Überlappung).

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Problem 534

Find the volume, $V$ , of a shed with dimensions $14.25 \mathrm{ft}$ , $13 \mathrm{ft}$ , and $4 \frac{1}{5} \mathrm{ft}$ using $V = l \cdot w \cdot h$ . Choices: $778.05 \mathrm{ft}^{3}$ , $728.05 \mathrm{ft}^{3}$ , $59.85 \mathrm{ft}^{3}$ , $31.45 \mathrm{ft}^{3}$ .

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Problem 535

Find the scale for Neal's backyard if it measures 35 yards by 40 yards but is drawn 14 inches by 16 inches.

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Problem 536

Find the length of each row of storage units if each unit has a volume of 125 cubic feet and there are 12 units per row.

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Problem 537

Find the width of a rectangular field with a perimeter of 270 yards and a length of 84 yards.

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Problem 538

A square has an area of $144 \mathrm{ft}^{2}$ . If 1 inch = $6 \mathrm{ft}$ , what is the area in the drawing?

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Problem 539

Mr. Drew wants a square sandbox with area 225 sq ft. How much wood does he need for the sides?

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Problem 540

Find the area of a poster with length $4 \mathrm{ft}$ and width $3.2 \mathrm{ft}$ . Use area $=$ length $\times$ width.

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Problem 541

Find the area of a poster with length $9 \mathrm{ft}$ and width $3.24 \mathrm{ft}$ . Area = $12.8 \mathrm{ft}^{2}$ .

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Problem 542

Calculate the area of a poster with length $4 \mathrm{ft}$ and width $3.2 \mathrm{ft}$ . Area is $12.8 \mathrm{ft}^{2}$ .

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Problem 543

Find the volume of a cylinder with altitude 12 and base radius 15, given a similar cylinder with radius 9. Options: A. $1620 \pi$ B. $972 \pi$ C. $2700 \pi$ D. $4500 \pi$ E. $1333 \pi$

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Problem 544

Demarco tiles a floor with a scale where each square is $2 \mathrm{ft}$ . He uses $\frac{1}{2} \mathrm{ft}$ tiles. How many?

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Problem 545

Find the height corresponding to side $S P$ of parallelogram $P Q R S$ if reducing sides $S P$ and $R Q$ by $10 \mathrm{~cm}$ decreases area by $120 \mathrm{~cm}^{2}$ .

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Problem 546

Find the area of a square inscribed in a circle with a diameter of 4. Options: A. 2 B. 4 C. 8 D. 9 E. 16

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Problem 547

Find the area of a rectangle where the length is $2$ inches less than $2$ times the width and the perimeter is $74$ inches.

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Problem 548

Find the volume of a cylindrical tank that is 3.0 ft deep and has a radius of 13.2 ft in liters.

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Problem 549

Find the volume of a room measuring $9.50 \mathrm{ft} \times 11.0 \mathrm{ft} \times 9.0 \mathrm{ft}$ in liters.

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Problem 550

Find the volume of a cylindrical tank that is $3.0 \mathrm{ft}$ deep with a radius of $13.2 \mathrm{ft}$ in liters. Volume $=$

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Problem 551

Find the area of a square with side length 12 yards in square feet. Show two methods.

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Problem 552

Solve for $h$ in the cone volume formula $v=\frac{1}{3} r^{2} h$ .

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Problem 553

Find the area of a square with a side length of 12 yards in square feet. Show two methods to calculate it.

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Problem 554

Dr. Gordon's drawing uses a scale of 2 in for every $100 \mathrm{ft}$ . What is the area of a 6 in. by 3.2 in. section?

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Problem 555

Find the height of a parallelogram with area $171 \mathrm{~cm}^2$ and base $18 \mathrm{~cm}$ . Options: F. $11 \mathrm{~cm}$ , G. $9.5 \mathrm{~cm}$ , H. $13.5 \mathrm{~cm}$ , J. $8 \mathrm{~cm}$ .

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Problem 556

Adoncia uses a scale of $15 \mathrm{ft}$ to $1 \mathrm{in}$ . The Lincoln Memorial is $80 \mathrm{ft}$ high and $200 \mathrm{ft}$ long. Can her drawing fit on an $8 \frac{1}{2}$ in. by $11$ in. sheet? Explain.

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Problem 557

Обемът $V$ на конус с образуваща $13 \mathrm{~cm}$ и височина $12 \mathrm{~cm}$ е.

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Problem 558

Tính diện tích mảnh vườn hình thang cân $\mathrm{ABCD}$ và hình bình hành $\mathrm{ADEF}$ với $\mathrm{BC}=30$ m, $\mathrm{AD}=42$ m, $\mathrm{BM}=22$ m, $\mathrm{EN}=28$ m.

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Problem 559

Berechnen Sie die Höhen $h_a$ und $h_b$ eines Parallelogramms mit Seitenlängen $a = 7,5$ , $b = 9,6$ , Umfang $U = 20,8$ und Fläche $A = 120$ .

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Problem 560

Find the area of a square with area $144 \mathrm{ft}^{2}$ in a drawing where $1$ in. = $6 \mathrm{ft}$ .

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Problem 561

Find the perimeter of the quadrilateral with vertices at $R(-1,3)$ , $S(3,3)$ , $T(5,-1)$ , and $U(-2,-1)$ . Round to the nearest tenth. Options: a) 11 b) 48 c) 103 d) 19.6 units.

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Problem 562

Find the floor area and pod volume for a rectangular pod measuring 20 ft by 12 ft and 8 ft high. Area: $A = 20 \times 12$ , Volume: $V = 20 \times 12 \times 8$ .

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Problem 563

A rectangle's length is $3 \mathrm{~cm}$ more than its width, with a perimeter of $24 \mathrm{~cm}$ . Find its dimensions.

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Problem 564

Un joven necesita saber cuántos rollos de material insonorizante debe comprar para sus paredes de 2 m x 2.2 m, con una puerta de 0.8 m. ¿Cuántos rollos necesita?

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Problem 565

The perimeter of a rectangle is 140 m. The length is 30 m more than the width. Find the rectangle's dimensions.

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Problem 566

The perimeter of a flag is 270 inches, and its length is twice the width. What are the flag's dimensions?

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Problem 567

Find the original dimensions of a metal piece if it’s 30 in longer than wide and forms a box of volume $1050 \mathrm{in}^{3}$ .

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Problem 568

Cynthia wants a rug for a room $19 \mathrm{ft} \times 32 \mathrm{ft}$ , leaving a uniform strip. She has 198 sq ft for the rug. What are the rug's dimensions?

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Problem 569

Tính diện tích mảnh vườn hình thang cân $\mathrm{ABCD}$ và hình bình hành $\mathrm{ADEF}$ với $\mathrm{BC}=30 \mathrm{~m}, \mathrm{AD}=42 \mathrm{~m}, \mathrm{BM}=22 \mathrm{~m}, \mathrm{EN}=28 \mathrm{~m}$ .

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Problem 570

Given $A D \parallel B C$ , with $A D=35 \mathrm{~cm}$ , $B D=37 \mathrm{~cm}$ , and $B C=45 \mathrm{~cm}$ , find $A B$ and the area of trapezium $A B C D$ .

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Problem 571

Find the volume and total surface area of a right triangular prism with base length 15 cm, height 9 cm, and length 13 cm.

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Problem 572

Find the area of rectangle $ABCD$ where $AD=37 \mathrm{~cm}$ , $AE=35 \mathrm{~cm}$ , and $DE=12 \mathrm{~cm}$ .

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Problem 573

Find the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ . Also, enter $3.0 \times 10^{12}$ .

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Problem 574

Find the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ .

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Problem 575

Calculate the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ .

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Problem 576

The length of a rectangle is 2 units less than $\frac{1}{5}$ of the width $x$ . Find the expression for the perimeter.

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Problem 577

The length of a rectangle is one less than $\frac{1}{6}$ of the width $x$ . What is the perimeter expression?

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Problem 578

Find the perimeter $\mathrm{P}$ of a rectangle as a function of width $\mathrm{W}$ , given length is $2\mathrm{W}$ .

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Problem 579

Use the given surface area and volume formula to answer the question. A grain storage building is a hemispherical shell with a radius of 19 meters. What is the volume of the building? How much paint is needed to cover the exterior of the building?
Click the icon to view the formulas for the surface area and volume of a sphere.
The volume of the building is $\square$ $\square$ (Round to the nearest integer as needed.) Painting the building requires $\square$ $\square$ of paint. (Round to the nearest integer as needed.)

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Problem 580

a. A rectangular pen is built with one side against a barn. If 400 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of $225 \mathrm{~m}^{2}$ . What are the dimensions of each pen that minimize the amount of fence that must be used? \begin{tabular}{|l|l|l|l|l|} \hline \multicolumn{4}{|c|}{ Bam } \\ \hline 225 & 225 & 225 & 225 \\ \hline \end{tabular} a. To maximize the area of the pen, the sides perpendicular to the barn should be 100 m long and the side parallel to the barn should be 200 m long. (Type exact answers, using radicals as needed.) b. To minimize the amount of fence that must be used, each of the sides perpendicular to the barn should be 33 m long and each of the sides parallel to the barn should be $3 \sqrt{5} \mathrm{~m}$ long. (Type exact answers, using radicals as needed.)

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Problem 581

a. A rectangular pen is built with one side against a barn. If 100 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of $225 \mathrm{~m}^{2}$ . What are the dimensions of each pen that minimize the amount of fence that must be used? \begin{tabular}{|l|l|l|l|l|} \hline \multicolumn{4}{|c|}{ Barn } \\ \hline 225 & 225 & 225 & 225 \\ \hline \end{tabular} a. To maximize the area of the pen, the sides perpendicular to the barn should be $\square$ m long and the side parallel to the barn should be $\square$ m long. (Type exact answers, using radicals as needed.)

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Problem 582

where $A$ is the area, $b$ is the base length and $h$ is the perpendicular height. a) Rearrange the formula to make $h$ the subject.
Use your rearranged formula to calculate the perpendicular height of this parallelogram.

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Problem 583

Calculator
What is the area of rhombus $A B C D$ ?
Enter your answer in the box. Do not round at any steps. $\square$ units $^{2}$

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Problem 584

Which estimate best describes the area of this figure? $10 \mathrm{in}^{2}$ $15 \mathrm{in}^{2}$ $20 \mathrm{in}^{2}$ 35 in $^{2}$

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Problem 585

What is the area of rhombus $A B C D$ ?
Enter your answer in the box. Do not round at any steps. $\square$ units ${ }^{2}$

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Problem 586

What is the area of a parallelogram whose vertices are $A(-1,12), B(13,12), C(2,-5)$ , and $D(-12,-5)$ ?
Enter your answer in the box. $\square$ units $^{2}$

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Problem 587

The straight line $2 x+y=14$ intersects the curve $2 x^{2}-y^{2}=2 x y-6$ at the points $A$ and $B$ . Show that the length of $A B$ is $24 \sqrt{5}$ units.

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Problem 588

A rectangle is constructed with sides of length $8.4 \times 10^{3} \mathrm{~cm}$ and $5.5 \times 10^{4} \mathrm{~cm}$ . (a) Write down the area of the rectangle in the form $a \times 10^{k}$ , where $1 \leq a<10$ and $k \in \mathbb{Z}$ .
Karen's estimate of the area of the rectangle is $450000000 \mathrm{~cm}^{2}$ . (b) Find the percentage error in Karen's estimate.

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Problem 589

surface area of a sphere $=4 \pi r^{2}$ , where $r$ is the radius. The sphere below has a radius of 6 cm . Work out the surface area of the sphere. Give your answer in terms of $\pi$ and remember to give the correct units.

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Problem 590

MASTER 2.5 Surface area of cin
1 The diagram shows the net of a cube. cuboids The surface area of a 3 D shape is the total area of all its faces. You can draw a net to help you is the total area of all
Work out a the area of one face of the cube $10 \times 10=$ $\qquad$ $10 \mathrm{~cm}^{2}$ b the surface area of the cube $6 \times$ $\qquad$ $=$ $\qquad$ $\mathrm{cm}^{2}$
2 The diagram shows a cube of side length 5 cm . Find the surface area of the cube.
3 Calculate the surface area of each cuboid. a Surface area $200 \quad 100$ $=2(20 \times 10)+2(20 \times 5)+$ $100 \quad 20 \times 10=$ $=2(20 \times 10)+2(20 \times 5)+2(10 \times 5)$ $\begin{array}{l} =2(20 \times 10)+2(20 \times 5)+2(10 \times 5) \\ =2 \times 200+2 \times 100+2 \times 200 \\ =200+100+200 \ldots 50 \mathrm{~m}^{2} \end{array}$
There are two of each size face: top and bottom, front and back, left and right sides. b
4 STEM The building One Canada Square in Canary Wharf, London, is roughly cuboidal in shape. It is approximately 235 m high, 55 m long and 50 m wide. All four walls are covered in glass, but not the roof. a Work out the surface area of the glass.
A skyscraper uses approximately 125 kg of steel to support one square metre of glass. b Work out the mass of steel used to support the glass in One Canada Square. Show how to check your answer using estimation.
5 Problem-solving A cuboid has a height of 7 cm and a width of 9 cm . Its volume is $661.5 \mathrm{~cm}^{3}$ . Work out the surface area of the cuboid. Use the volume to work out the length of the cuboid first.

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Problem 591

5.
John is planning on planting vegetables and flowers in his garden. The shaded area represents where he will plant the flowers.
What is the area of space where John will plant the flowers? A. $5 x^{2}+24 x+16$ B. $9 x^{2}+20 x+16$ c. $7 x^{2}+24 x+16$ D. $5 x^{2}+16$

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Problem 592

A flour moth trap has the shape of a triangular prism that is open on both ends. An environmentally safe chemical draws the moth inside the prism, which is lined with an adhesive. What is the surface area of the prism-shaped trap?
The surface area of the given triangular prism is $\square$ sq in. (Type an integer or a decimal.)

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Problem 593

Concepts of Area and Perimeter - Quiz - Level F (x)
What is the area of this tile? in. \% $\mathrm{in}^{2}$ $4 \mathrm{in}$ . 7 Number Pad 4 5 6 - 2 3 2 1 in.

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Problem 594

Concepts of Area and Perimeter - Quiz - Level F
What is the area of this tile? in. $i n^{2}$ $6 \mathrm{in}$ . 2 in.

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Problem 595

Find the density of a rectangular artifact with dimensions $2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}$ and mass 36 grams.

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Problem 596

Calculate the volume of a cylinder with radius $4 \mathrm{~cm}$ and height $10 \mathrm{~cm}$ . Options: A. $80 \pi$ B. $100 \pi$ C. $160 \pi$ D. $200 \pi$

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Problem 597

A gardener plans to fence a square area of side 28 ft. How much fencing is needed for the rectangular area, which requires double?

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Problem 598

Cube B's side is 3 times cube A's. If volume A is $a \mathrm{~cm}^{3}$ , find $b$ in terms of $a$ :
a. $b=81 a$ b. $b=9 a$ c. $b=3 a$ d. $b=27 a$

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Problem 599

Points A, B, C, D divide line segment AD in the ratio $2 \frac{1}{2}: 1 \frac{1}{3}: \frac{5}{6}$ . If AB = 30 cm, find BD. Options: a. 26 cm b. 56 cm c. 16 cm d. 10 cm.

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Problem 600

What is the total cost of a rectangular plot (1200 m by 900 m) if 1 hectare costs R5 200? Options: a. R2076923,08 b. R561600,00 c. R207692,31 d. R5616000,00

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1 ...3 4 5 6 7 8 9 ...14

Mensuration

Problem 501

Find the rectangle dimensions and max area with a perimeter of 36 mm36 \mathrm{~mm}36 mm. Dimensions: mm\mathbf{mm}mm, Area: mm2\mathrm{mm}^{2}mm2.

Problem 502

Graig has 200 yards of fencing for a garden next to his house. Find dimensions for max area. Possible: 50x100, 50x50, 50x200.

Problem 503

Mr. Barton's rectangular garden has a top side of 16 ft, bottom side of 20 ft, and perimeter of 60 ft. Find xxx.

Problem 504

A square's perimeter is 8g+168 g+168g+16. Which expression matches this perimeter based on the side length? (A) 2(4g+8)2(4 g+8)2(4g+8) (B) 4(2g+4)4(2 g+4)4(2g+4) (C) 4(2g)+164(2 g)+164(2g)+16 (D) 4(g+2)+4(g+2)4(g+2)+4(g+2)4(g+2)+4(g+2)

Problem 505

Zeichne Strecken von 2 cm2 \mathrm{~cm}2 cm, 3,5 cm3,5 \mathrm{~cm}3,5 cm, 4,7 cm4,7 \mathrm{~cm}4,7 cm. Prüfe Strecken A, B, C, D auf Richtigkeit. Zeichne Linien durch P1P_{1}P1​ und P2P_{2}P2​: eine parallel, eine senkrecht zu ggg. Überprüfe mit Geodreieck.

Problem 506

Find the actual length and width of an elm leaf beetle if 2 in. in the photo equals 8 mm8 \mathrm{~mm}8 mm and the photo dimensions are 1121 \frac{1}{2}121​ in. and 34\frac{3}{4}43​ in.

Problem 507

A scientist enlarges a photo of an elm leaf beetle. If 2 in. = 8 mm8 \mathrm{~mm}8 mm, find the actual length and width of the beetle from its photo size of 1121 \frac{1}{2}121​ in. and 34\frac{3}{4}43​ in.

Problem 508

Berechnen Sie den Erdaushub (m3\mathrm{m}^{3}m3), die benötigten Fliesen (m2\mathrm{m}^{2}m2) und das Wasservolumen in Litern.

Problem 509

Problem 510

This object is composed of a right rectangular prism attached to the side of a larger rig Determine the surface area of the object.

Problem 511

Problem 512

Petra wants to represent a distance of 400 miles on a piece of notebook paper that is 8.5 inches wide and 11 inches long. She wants to use a scale of 1in.=20mi1 \mathrm{in} .=20 \mathrm{mi}1in.=20mi.Can Petra make this scale drawing? Why or why not?

Problem 513

Problem 514

16. Volume: \qquad

Problem 515

Find the area of this parallelogram. Be sure to include the correct unit in your answer. If necessary, refer to the list of geometry formulas.

Problem 516

Problem 517

Question 2Solve the equation or formula for w\boldsymbol{w}w. Write your answer as an equation. P=2ℓ+2wP=2 \ell+2 wP=2ℓ+2w

Problem 518

5. A soft drink can has a diameter of 6 cm and a height of 11.5 cm . (a) What is its volume? (b) What is its surface area?

Problem 519

Problem 520

Problem 521

Problem 522

2. Сторона ромба равна 12 cm , а один из его углов равен 30∘30^{\circ}30∘. Найдите площадь ромба.3. Найдите площадь прямоугольной трапеции, у которой две

Problem 523

At basketball practice, the coach had the team run 5 laps around the court. The court has a length of 28 meters and a width of 15 meters. How many meters did the basketball team have to run at practice? Be sure to show your work and write your units.

Problem 524

Problem 525

Farmer has 5,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer does not fence the side along the river, what is the largest area that can be enclosed?The largest area that can be enclosed is □\square□ □\square□

Problem 526

o)

Problem 527

Problem 528

Problem 529

Problem 530

Learn with an example • or Watch a video (D)A cylinder has a height of 19 millimeters and a radius of 18 millimeters. What is its volume? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ cubic millimeters Submit

Problem 531

A baseball diamond measures 25 meters along each side. If a batter hit 3 home runs in a game, how many kilometers did the batter run? \qquad

Problem 532

A baseball diamond measures 29 meters along each side. If a batter hit 3 triples in a game, how many kiometers the batter run? \qquad

Problem 533

Ein Haus hat eine quadratische Grundfläche mit a=15 ma=15 \mathrm{~m}a=15 m und einem pyramidenförmigen Dach mit h=20 mh=20 \mathrm{~m}h=20 m. Berechne hah_{a}ha​ und die benötigte Kupferblechfläche (inkl. 5%5\%5% Überlappung).

Problem 534

Problem 535

Find the scale for Neal's backyard if it measures 35 yards by 40 yards but is drawn 14 inches by 16 inches.

Problem 536

Find the length of each row of storage units if each unit has a volume of 125 cubic feet and there are 12 units per row.

Problem 537

Find the width of a rectangular field with a perimeter of 270 yards and a length of 84 yards.

Problem 538

A square has an area of 144ft2144 \mathrm{ft}^{2}144ft2. If 1 inch = 6ft6 \mathrm{ft}6ft, what is the area in the drawing?

Problem 539

Mr. Drew wants a square sandbox with area 225 sq ft. How much wood does he need for the sides?

Problem 540

Find the area of a poster with length 4ft4 \mathrm{ft}4ft and width 3.2ft3.2 \mathrm{ft}3.2ft. Use area === length ×\times× width.

Problem 541

Find the area of a poster with length 9ft9 \mathrm{ft}9ft and width 3.24ft3.24 \mathrm{ft}3.24ft. Area = 12.8ft212.8 \mathrm{ft}^{2}12.8ft2.

Problem 542

Calculate the area of a poster with length 4ft4 \mathrm{ft}4ft and width 3.2ft3.2 \mathrm{ft}3.2ft. Area is 12.8ft212.8 \mathrm{ft}^{2}12.8ft2.

Problem 543

Find the volume of a cylinder with altitude 12 and base radius 15, given a similar cylinder with radius 9. Options: A. 1620π1620 \pi1620π B. 972π972 \pi972π C. 2700π2700 \pi2700π D. 4500π4500 \pi4500π E. 1333π1333 \pi1333π

Problem 544

Demarco tiles a floor with a scale where each square is 2ft2 \mathrm{ft}2ft. He uses 12ft\frac{1}{2} \mathrm{ft}21​ft tiles. How many?

Problem 545

Find the height corresponding to side SPS PSP of parallelogram PQRSP Q R SPQRS if reducing sides SPS PSP and RQR QRQ by 10 cm10 \mathrm{~cm}10 cm decreases area by 120 cm2120 \mathrm{~cm}^{2}120 cm2.

Problem 546

Find the rectangle dimensions and max area with a perimeter of $36 \mathrm{~mm}$ . Dimensions: $\mathbf{mm}$ , Area: $\mathrm{mm}^{2}$ .

Mr. Barton's rectangular garden has a top side of 16 ft, bottom side of 20 ft, and perimeter of 60 ft. Find $x$ .

A square's perimeter is $8 g+16$ . Which expression matches this perimeter based on the side length? (A) $2(4 g+8)$ (B) $4(2 g+4)$ (C) $4(2 g)+16$ (D) $4(g+2)+4(g+2)$

Zeichne Strecken von $2 \mathrm{~cm}$ , $3,5 \mathrm{~cm}$ , $4,7 \mathrm{~cm}$ . Prüfe Strecken A, B, C, D auf Richtigkeit. Zeichne Linien durch $P_{1}$ und $P_{2}$ : eine parallel, eine senkrecht zu $g$ . Überprüfe mit Geodreieck.

Find the actual length and width of an elm leaf beetle if 2 in. in the photo equals $8 \mathrm{~mm}$ and the photo dimensions are $1 \frac{1}{2}$ in. and $\frac{3}{4}$ in.

A scientist enlarges a photo of an elm leaf beetle. If 2 in. = $8 \mathrm{~mm}$ , find the actual length and width of the beetle from its photo size of $1 \frac{1}{2}$ in. and $\frac{3}{4}$ in.

Berechnen Sie den Erdaushub ( $\mathrm{m}^{3}$ ), die benötigten Fliesen ( $\mathrm{m}^{2}$ ) und das Wasservolumen in Litern.

Petra wants to represent a distance of 400 miles on a piece of notebook paper that is 8.5 inches wide and 11 inches long. She wants to use a scale of $1 \mathrm{in} .=20 \mathrm{mi}$ .
Can Petra make this scale drawing? Why or why not?

16. Volume: $\qquad$

Question 2
Solve the equation or formula for $\boldsymbol{w}$ . Write your answer as an equation. $P=2 \ell+2 w$

2. Сторона ромба равна 12 cm , а один из его углов равен $30^{\circ}$ . Найдите площадь ромба.
3. Найдите площадь прямоугольной трапеции, у которой две

Farmer has 5,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer does not fence the side along the river, what is the largest area that can be enclosed?
The largest area that can be enclosed is $\square$ $\square$

Learn with an example • or Watch a video (D)
A cylinder has a height of 19 millimeters and a radius of 18 millimeters. What is its volume? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ cubic millimeters Submit

A baseball diamond measures 25 meters along each side. If a batter hit 3 home runs in a game, how many kilometers did the batter run? $\qquad$

A baseball diamond measures 29 meters along each side. If a batter hit 3 triples in a game, how many kiometers the batter run? $\qquad$

Ein Haus hat eine quadratische Grundfläche mit $a=15 \mathrm{~m}$ und einem pyramidenförmigen Dach mit $h=20 \mathrm{~m}$ . Berechne $h_{a}$ und die benötigte Kupferblechfläche (inkl. $5\%$ Überlappung).

A square has an area of $144 \mathrm{ft}^{2}$ . If 1 inch = $6 \mathrm{ft}$ , what is the area in the drawing?

Find the area of a poster with length $4 \mathrm{ft}$ and width $3.2 \mathrm{ft}$ . Use area $=$ length $\times$ width.

Find the area of a poster with length $9 \mathrm{ft}$ and width $3.24 \mathrm{ft}$ . Area = $12.8 \mathrm{ft}^{2}$ .

Calculate the area of a poster with length $4 \mathrm{ft}$ and width $3.2 \mathrm{ft}$ . Area is $12.8 \mathrm{ft}^{2}$ .

Find the volume of a cylinder with altitude 12 and base radius 15, given a similar cylinder with radius 9. Options: A. $1620 \pi$ B. $972 \pi$ C. $2700 \pi$ D. $4500 \pi$ E. $1333 \pi$

Demarco tiles a floor with a scale where each square is $2 \mathrm{ft}$ . He uses $\frac{1}{2} \mathrm{ft}$ tiles. How many?

Find the height corresponding to side $S P$ of parallelogram $P Q R S$ if reducing sides $S P$ and $R Q$ by $10 \mathrm{~cm}$ decreases area by $120 \mathrm{~cm}^{2}$ .

Find the area of a rectangle where the length is $2$ inches less than $2$ times the width and the perimeter is $74$ inches.

Find the volume of a room measuring $9.50 \mathrm{ft} \times 11.0 \mathrm{ft} \times 9.0 \mathrm{ft}$ in liters.

Find the volume of a cylindrical tank that is $3.0 \mathrm{ft}$ deep with a radius of $13.2 \mathrm{ft}$ in liters. Volume $=$

Solve for $h$ in the cone volume formula $v=\frac{1}{3} r^{2} h$ .

Dr. Gordon's drawing uses a scale of 2 in for every $100 \mathrm{ft}$ . What is the area of a 6 in. by 3.2 in. section?

Find the height of a parallelogram with area $171 \mathrm{~cm}^2$ and base $18 \mathrm{~cm}$ . Options: F. $11 \mathrm{~cm}$ , G. $9.5 \mathrm{~cm}$ , H. $13.5 \mathrm{~cm}$ , J. $8 \mathrm{~cm}$ .

Adoncia uses a scale of $15 \mathrm{ft}$ to $1 \mathrm{in}$ . The Lincoln Memorial is $80 \mathrm{ft}$ high and $200 \mathrm{ft}$ long. Can her drawing fit on an $8 \frac{1}{2}$ in. by $11$ in. sheet? Explain.

Обемът $V$ на конус с образуваща $13 \mathrm{~cm}$ и височина $12 \mathrm{~cm}$ е.

Tính diện tích mảnh vườn hình thang cân $\mathrm{ABCD}$ và hình bình hành $\mathrm{ADEF}$ với $\mathrm{BC}=30$ m, $\mathrm{AD}=42$ m, $\mathrm{BM}=22$ m, $\mathrm{EN}=28$ m.

Berechnen Sie die Höhen $h_a$ und $h_b$ eines Parallelogramms mit Seitenlängen $a = 7,5$ , $b = 9,6$ , Umfang $U = 20,8$ und Fläche $A = 120$ .

Find the area of a square with area $144 \mathrm{ft}^{2}$ in a drawing where $1$ in. = $6 \mathrm{ft}$ .

Find the perimeter of the quadrilateral with vertices at $R(-1,3)$ , $S(3,3)$ , $T(5,-1)$ , and $U(-2,-1)$ . Round to the nearest tenth. Options: a) 11 b) 48 c) 103 d) 19.6 units.

Find the floor area and pod volume for a rectangular pod measuring 20 ft by 12 ft and 8 ft high. Area: $A = 20 \times 12$ , Volume: $V = 20 \times 12 \times 8$ .

A rectangle's length is $3 \mathrm{~cm}$ more than its width, with a perimeter of $24 \mathrm{~cm}$ . Find its dimensions.

Find the original dimensions of a metal piece if it’s 30 in longer than wide and forms a box of volume $1050 \mathrm{in}^{3}$ .

Cynthia wants a rug for a room $19 \mathrm{ft} \times 32 \mathrm{ft}$ , leaving a uniform strip. She has 198 sq ft for the rug. What are the rug's dimensions?

Tính diện tích mảnh vườn hình thang cân $\mathrm{ABCD}$ và hình bình hành $\mathrm{ADEF}$ với $\mathrm{BC}=30 \mathrm{~m}, \mathrm{AD}=42 \mathrm{~m}, \mathrm{BM}=22 \mathrm{~m}, \mathrm{EN}=28 \mathrm{~m}$ .

Given $A D \parallel B C$ , with $A D=35 \mathrm{~cm}$ , $B D=37 \mathrm{~cm}$ , and $B C=45 \mathrm{~cm}$ , find $A B$ and the area of trapezium $A B C D$ .

Find the area of rectangle $ABCD$ where $AD=37 \mathrm{~cm}$ , $AE=35 \mathrm{~cm}$ , and $DE=12 \mathrm{~cm}$ .

Find the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ . Also, enter $3.0 \times 10^{12}$ .

Find the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ .