Question

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Area of Trapezoids Quick Check
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Question
Use the image to answer the question.
A trapezium is shown with the following measurements: bottom edge, 14 inches, top edge, 32 inches, and the left edge, 15 inches. The height of the trapezium is 13 inches.
Use the formula for area of a trapezoid to find the area of the trapezoid.(1 point)
Responses

299 in.2
299 in. squared

182 in.2
182 in. squared

345 in.2
345 in. squared

598 in.2
598 in. squared
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Answer 1

To find the area of the trapezoid, you can use the formula:

\[
\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h
\]

where \( b_1 \) and \( b_2 \) are the lengths of the two parallel sides (the bases), and \( h \) is the height.

In your case:
- \( b_1 = 14 \) inches (bottom edge)
- \( b_2 = 32 \) inches (top edge)
- \( h = 13 \) inches (height)

Plugging in these values:

\[
\text{Area} = \frac{1}{2} \times (14 + 32) \times 13
\]
\[
= \frac{1}{2} \times 46 \times 13
\]
\[
= 23 \times 13
\]
\[
= 299 \text{ in}^2
\]

Therefore, the area of the trapezoid is **299 in²** (or 299 in. squared). The correct response is:

**299 in.²**