Question

find the area of each trapezoid.
8)
area = ________
area = ________
d the area of the shaded

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.

Step2: Calculate area of first trapezoid

For the first trapezoid with $b_1 = 6.5$ in, $b_2=22.2$ in and $h = 7$ in.
$A_1=\frac{1}{2}(6.5 + 22.2)\times7=\frac{1}{2}\times28.7\times7=14.35\times7 = 100.45$ in²

Step3: Calculate area of second trapezoid

For the second trapezoid with $b_1 = 8$ ft, $b_2 = 16.9$ ft and $h = 11.4$ ft.
$A_2=\frac{1}{2}(8 + 16.9)\times11.4=\frac{1}{2}\times24.9\times11.4=12.45\times11.4 = 141.93$ ft²

Answer:

The area of the first trapezoid is $100.45$ in² and the area of the second trapezoid is $141.93$ ft²