Question

find the area of this trapezoid. make 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, $b_1 = 16$ yd, $b_2=7$ yd, and $h = 6$ yd.

Step2: Substitute values into formula

$A=\frac{(16 + 7)\times6}{2}$. First, calculate the sum of the parallel - sides: $16+7 = 23$ yd. Then, multiply by the height: $23\times6=138$ square yards. Finally, divide by 2: $\frac{138}{2}=69$ square yards.

Answer:

$69$ yd²