what is the area?
3 mi
8 mi
5 mi
square miles
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Question

Accepted Answer

# Explanation:
## Step1: Identify the formula for the area of a trapezoid
The figure is a trapezoid, and the formula for the area of a trapezoid is $ A=\frac{(b_1 + b_2)}{2}\times h $, where $ b_1 $ and $ b_2 $ are the lengths of the two parallel sides (bases), and $ h $ is the height (the perpendicular distance between the bases).

## Step2: Identify the values of $ b_1 $, $ b_2 $, and $ h $
From the diagram, $ b_1 = 3 $ mi, $ b_2 = 5 $ mi, and $ h = 8 $ mi.

## Step3: Substitute the values into the formula
Substitute $ b_1 = 3 $, $ b_2 = 5 $, and $ h = 8 $ into the formula:
$$
\begin{align*}
A&=\frac{(3 + 5)}{2}\times 8\
&=\frac{8}{2}\times 8\
&= 4\times 8\
&= 32
\end{align*}
$$

# Answer:
32

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the formula for the area of a trapezoid

Step2: Identify the values of \( b_1 \), \( b_2 \), and \( h \)

Step3: Substitute the values into the formula

Answer: