Question

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

Explanation:

Step1: Recall trapezoid area formula

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, $b_1 = 3$ yd, $b_2=15$ yd, and $h = 4$ yd.

Step2: Substitute values into formula

$A=\frac{(3 + 15)\times4}{2}$. First, calculate the sum of the parallel sides: $3+15 = 18$ yd. Then, multiply by the height: $18\times4=72$ square - yards. Finally, divide by 2: $\frac{72}{2}=36$ square - yards.

Answer:

$36$ yd$^2$