Question

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

Explanation:

Step1: Recall area formula

The area formula for a trapezoid is $A=\frac{1}{2}(b_1 + b_2)h$, where $b_1$ and $b_2$ are the lengths of the parallel - sides and $h$ is the height. Here, $b_1 = 8m$, $b_2=13m$ and $h = 9m$.

Step2: Substitute values

$A=\frac{1}{2}(8 + 13)\times9$.
First, calculate the sum inside the parentheses: $8+13 = 21$.
Then, $A=\frac{1}{2}\times21\times9$.
$A=\frac{189}{2}=94.5$.

Answer:

$94.5m^{2}$