Question

find the area of this trapezoid. be sure to include the correct unit in your answer. if necessary, refer to the list of geometry formulas.

Explanation:

Step1: Identify the formula for the area of a trapezoid

The formula 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.
In the trapezoid, $b_1=7$ yd, $b_2 = 19$ yd, and $h = 9$ yd.

Step2: Substitute the values into the formula

$A=\frac{1}{2}(7 + 19)\times9$.
First, calculate the sum of the parallel sides: $7+19 = 26$ yd.
Then, $A=\frac{1}{2}\times26\times9$.
$\frac{1}{2}\times26=13$, so $A = 13\times9$.

Step3: Calculate the area

$A=117$ yd².

Answer:

$117$ yd²