QuestionFind the height of a triangular park with a base of $200 \mathrm{yd}$ and an area of $7500 \mathrm{yd}^{2}$ .

Studdy Solution

STEP 1

Assumptions1. The park is in the shape of a triangle. The length of the base of the triangle is200 yd3. The area of the triangle is7500 yd²4. We need to find the length of the height of the triangle

STEP 2

The area of a triangle is given by the formula $Area = \frac{1}{2} \times Base \times Height$

STEP 3

We can rearrange this formula to solve for the height $Height = \frac{2 \times Area}{Base}$

STEP 4

Now, plug in the given values for the base and the area to calculate the height.
$Height = \frac{2 \times7500\, yd^{2}}{200\, yd}$

STEP 5

Perform the multiplication in the numerator $Height = \frac{15000\, yd^{2}}{200\, yd}$

STEP 6

Perform the division to find the height $Height = \frac{15000\, yd^{2}}{200\, yd} =75\, yd$ The length of the side of the park that forms the height of the triangle is75 yards.

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QuestionFind the height of a triangular park with a base of $200 \mathrm{yd}$ and an area of $7500 \mathrm{yd}^{2}$ .

Studdy Solution

STEP 1

Assumptions1. The park is in the shape of a triangle. The length of the base of the triangle is200 yd3. The area of the triangle is7500 yd²4. We need to find the length of the height of the triangle

STEP 2

The area of a triangle is given by the formula $Area = \frac{1}{2} \times Base \times Height$

STEP 3

We can rearrange this formula to solve for the height $Height = \frac{2 \times Area}{Base}$

STEP 4

Now, plug in the given values for the base and the area to calculate the height.
$Height = \frac{2 \times7500\, yd^{2}}{200\, yd}$

STEP 5

Perform the multiplication in the numerator $Height = \frac{15000\, yd^{2}}{200\, yd}$

STEP 6

Perform the division to find the height $Height = \frac{15000\, yd^{2}}{200\, yd} =75\, yd$ The length of the side of the park that forms the height of the triangle is75 yards.

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QuestionFind the height of a triangular park with a base of 200yd200 \mathrm{yd}200yd and an area of 7500yd27500 \mathrm{yd}^{2}7500yd2.

Studdy Solution

STEP 1

Assumptions1. The park is in the shape of a triangle. The length of the base of the triangle is200 yd3. The area of the triangle is7500 yd²4. We need to find the length of the height of the triangle

STEP 2

The area of a triangle is given by the formulaArea=12×Base×HeightArea = \frac{1}{2} \times Base \times HeightArea=21​×Base×Height

STEP 3

We can rearrange this formula to solve for the heightHeight=2×AreaBaseHeight = \frac{2 \times Area}{Base}Height=Base2×Area​

STEP 4

Now, plug in the given values for the base and the area to calculate the height.Height=2×7500 yd2200 ydHeight = \frac{2 \times7500\, yd^{2}}{200\, yd}Height=200yd2×7500yd2​

STEP 5

Perform the multiplication in the numeratorHeight=15000 yd2200 ydHeight = \frac{15000\, yd^{2}}{200\, yd}Height=200yd15000yd2​

STEP 6

Perform the division to find the heightHeight=15000 yd2200 yd=75 ydHeight = \frac{15000\, yd^{2}}{200\, yd} =75\, ydHeight=200yd15000yd2​=75ydThe length of the side of the park that forms the height of the triangle is75 yards.

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QuestionFind the height of a triangular park with a base of $200 \mathrm{yd}$ and an area of $7500 \mathrm{yd}^{2}$ .

The area of a triangle is given by the formula $Area = \frac{1}{2} \times Base \times Height$

We can rearrange this formula to solve for the height $Height = \frac{2 \times Area}{Base}$

Now, plug in the given values for the base and the area to calculate the height.
$Height = \frac{2 \times7500\, yd^{2}}{200\, yd}$

Perform the multiplication in the numerator $Height = \frac{15000\, yd^{2}}{200\, yd}$

Perform the division to find the height $Height = \frac{15000\, yd^{2}}{200\, yd} =75\, yd$ The length of the side of the park that forms the height of the triangle is75 yards.