Question
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Area of Trapezoids Quick Check
1 of 51 of 5 Items
Question
Use the image to answer the question.
An illustration shows a right trapezoid. The right side measures 4 centimeters, the left side measures 5 centimeters, the top side measures 13 centimeters, and the bottom side measures 16 centimeters. The bottom right and top right vertices form right angles.
Decompose the trapezoid into smaller polygons to help you find the area of the trapezoid. Round the answer to the nearest whole number.(1 point)
Responses
58 cm2
58 cm squared
32 cm2
32 cm squared
73 cm2
73 cm squared
38 cm2
38 cm squared
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Area of Trapezoids Quick Check
1 of 51 of 5 Items
Question
Use the image to answer the question.
An illustration shows a right trapezoid. The right side measures 4 centimeters, the left side measures 5 centimeters, the top side measures 13 centimeters, and the bottom side measures 16 centimeters. The bottom right and top right vertices form right angles.
Decompose the trapezoid into smaller polygons to help you find the area of the trapezoid. Round the answer to the nearest whole number.(1 point)
Responses
58 cm2
58 cm squared
32 cm2
32 cm squared
73 cm2
73 cm squared
38 cm2
38 cm squared
Skip to navigation
Answers
GPT-4o mini
To find the area of the trapezoid, you can use the formula for the area of a trapezoid:
\[
\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h
\]
where:
- \( b_1 \) is the length of the top base,
- \( b_2 \) is the length of the bottom base,
- \( h \) is the height.
From the information given:
- \( b_1 = 13 \) cm (top side)
- \( b_2 = 16 \) cm (bottom side)
- The height \( h \) is the perpendicular distance, which can be determined by looking at the trapezoid: given the sides measures and right angles, it is clear that \( h = 4 \) cm (the length of the right side).
Now plug in the values:
\[
\text{Area} = \frac{1}{2} \times (13 + 16) \times 4
\]
\[
= \frac{1}{2} \times 29 \times 4
\]
\[
= \frac{1}{2} \times 116
\]
\[
= 58 \, \text{cm}^2
\]
Rounding to the nearest whole number, the area of the trapezoid is **58 cm²**.
Thus, the correct response is:
**58 cm²**
\[
\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h
\]
where:
- \( b_1 \) is the length of the top base,
- \( b_2 \) is the length of the bottom base,
- \( h \) is the height.
From the information given:
- \( b_1 = 13 \) cm (top side)
- \( b_2 = 16 \) cm (bottom side)
- The height \( h \) is the perpendicular distance, which can be determined by looking at the trapezoid: given the sides measures and right angles, it is clear that \( h = 4 \) cm (the length of the right side).
Now plug in the values:
\[
\text{Area} = \frac{1}{2} \times (13 + 16) \times 4
\]
\[
= \frac{1}{2} \times 29 \times 4
\]
\[
= \frac{1}{2} \times 116
\]
\[
= 58 \, \text{cm}^2
\]
Rounding to the nearest whole number, the area of the trapezoid is **58 cm²**.
Thus, the correct response is:
**58 cm²**