Question

find the area of this trapezoid. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall area formula for trapezoid

The formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the lengths of the parallel - sides and $h$ is the height. Here, $b_1 = 7$ yd, $b_2=13$ yd and $h = 9$ yd.

Step2: Substitute values into formula

$A=\frac{(7 + 13)\times9}{2}$

Step3: Simplify the expression

First, calculate the sum inside the parentheses: $7+13 = 20$. Then, multiply by the height: $20\times9=180$. Finally, divide by 2: $\frac{180}{2}=90$.

Answer:

$90\text{ yd}^2$