Studdy AI Logo
Math

QuestionCalculate the perimeter of the rectangle formed by the points (1,3)(1,3), (1,5)(1,5), and (8,3)(8,3).

Studdy Solution

STEP 1

Assumptions1. The given coordinates form a rectangle. . The coordinates are (1,3)(1,3), (1,5)(1,5), and (8,3)(8,3).
3. The distance between two points can be calculated using the distance formula.
4. The perimeter of a rectangle is twice the sum of its length and width.

STEP 2

First, we need to find the lengths of the sides of the rectangle. We can do this by using the distance formula, which isDistance=(x2−x1)2+(y2−y1)2Distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

STEP 3

Let's calculate the length of the side between the points (1,3)(1,3) and (1,5)(1,5).
Length=(1−1)2+(5−3)2Length = \sqrt{(1 -1)^2 + (5 -3)^2}

STEP 4

Calculate the length.
Length=(0)2+(2)2=2Length = \sqrt{(0)^2 + (2)^2} =2

STEP 5

Now, let's calculate the length of the side between the points (1,3)(1,3) and (8,3)(8,3).
Width=(8−1)2+(3−3)2Width = \sqrt{(8 -1)^2 + (3 -3)^2}

STEP 6

Calculate the width.
Width=()2+(0)2=Width = \sqrt{()^2 + (0)^2} =

STEP 7

Now that we have the lengths of the sides, we can find the perimeter of the rectangle. The perimeter of a rectangle is twice the sum of its length and width.
Perimeter=2×(Length+Width)Perimeter =2 \times (Length + Width)

STEP 8

Plug in the values for the length and the width to calculate the perimeter.
Perimeter=2×(2+7)Perimeter =2 \times (2 +7)

STEP 9

Calculate the perimeter.
Perimeter=2×9=18Perimeter =2 \times9 =18The perimeter of the rectangle is18 units.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord