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, $b_1 = 19$ yd, $b_2 = 7$ yd, and $h = 8$ yd.

Step2: Substitute values

Substitute the values into the formula: $A=\frac{1}{2}(19 + 7)\times8$.
First, calculate the sum inside the parentheses: $19+7 = 26$ yd.
Then, we have $A=\frac{1}{2}\times26\times8$.
$\frac{1}{2}\times26 = 13$, and $13\times8=104$ $yd^{2}$.

Answer:

$104$ $yd^{2}$