What is the area of a traperoid with a height of 7.5 ft and bases measuring 7.5 ft and
15 tt ?

Ask by Cross Mccoy. in the United States

Mar 26,2025

Question

What is the area of a traperoid with a height of 7.5 ft and bases measuring 7.5 ft and
15 tt ?

Ask by Cross Mccoy. in the United States

Mar 26,2025

UpStudy AI · Accepted Answer

To find the area of a trapezoid, we can use the formula:

$$ \text{Area} = \frac{1}{2} \times (a + b) \times h $$

where:
- $$ a $$ is the length of the shorter base,
- $$ b $$ is the length of the longer base,
- $$ h $$ is the height of the trapezoid.

Given:
- Height ($$ h $$) = 7.5 ft
- Shorter base ($$ a $$) = 7.5 ft
- Longer base ($$ b $$) = 15 ft

Substitute the values into the formula:

$$ \text{Area} = \frac{1}{2} \times (7.5 + 15) \times 7.5 $$

$$ \text{Area} = \frac{1}{2} \times 22.5 \times 7.5 $$

$$ \text{Area} = \frac{1}{2} \times 168.75 $$

$$ \text{Area} = 84.375 \, \text{ft}^2 $$

Therefore, the area of the trapezoid is $$ 84.375 \, \text{ft}^2 $$.
The area of the trapezoid is $$ 84.375 \, \text{ft}^2 $$.