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 $A=\frac{(b_1 + b_2)h}{2}$, 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

Substitute $b_1 = 3$, $b_2 = 15$ and $h = 4$ into the 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:

$36$ yd²