Question

4 a tarp covers the grass on part of a baseball field during batting practice. the tarp is shaped like the trapezoid at the right. what is the area of the tarp? show your work.

Explanation:

Step1: Recall area formula for trapezoid

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, $b_1 = 24$ ft, $b_2=64$ ft, and $h = 15$ ft.

Step2: Substitute values into formula

$A=\frac{1}{2}(24 + 64)\times15$. First, calculate the sum inside the parentheses: $24+64 = 88$ ft. Then, we have $A=\frac{1}{2}\times88\times15$.

Step3: Perform multiplications

$\frac{1}{2}\times88 = 44$, and $44\times15=660$ square feet.

Answer:

660 square feet