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 trapezoid area formula

The formula for the area of 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, $b_1=3$ yd, $b_2 = 19$ yd and $h = 8$ yd.

Step2: Substitute values into formula

$A=\frac{1}{2}(3 + 19)\times8$.
First, calculate the sum inside the parentheses: $3+19 = 22$ yd.
Then, multiply by $\frac{1}{2}$ and 8: $A=\frac{1}{2}\times22\times8=11\times8$.

Step3: Calculate the area

$A = 88$ square yards.

Answer:

$88$ yd²