3.5 7.5 What is the area of the trapezoid? O 20 O 22 O 30 O44 4

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
The diagram illustrates a trapezoid with the following dimensions:

- The length of the top base is 3.5 units.
- The length of the bottom base is 7.5 units.
- The height of the trapezoid is 4 units.

Below the diagram, there is a question:

"What is the area of the trapezoid?"

The answer choices provided are:

- 20
- 22
- 30
- 44

To calculate the area of a trapezoid, use the formula:

\[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \]

Substituting in the given values:

\[ \text{Area} = \frac{1}{2} \times (3.5 + 7.5) \times 4 \]

\[ \text{Area} = \frac{1}{2} \times 11 \times 4 \]

\[ \text{Area} = \frac{1}{2} \times 44 \]

\[ \text{Area} = 22 \]

Therefore, the correct answer is 22.
Transcribed Image Text:The diagram illustrates a trapezoid with the following dimensions: - The length of the top base is 3.5 units. - The length of the bottom base is 7.5 units. - The height of the trapezoid is 4 units. Below the diagram, there is a question: "What is the area of the trapezoid?" The answer choices provided are: - 20 - 22 - 30 - 44 To calculate the area of a trapezoid, use the formula: \[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \] Substituting in the given values: \[ \text{Area} = \frac{1}{2} \times (3.5 + 7.5) \times 4 \] \[ \text{Area} = \frac{1}{2} \times 11 \times 4 \] \[ \text{Area} = \frac{1}{2} \times 44 \] \[ \text{Area} = 22 \] Therefore, the correct answer is 22.
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