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
Related questions
Question
![**Question: Find the area of the figure.**
**Diagram Description:**
The image shows a trapezoid with its dimensions labeled. The top base is 6 feet, the bottom base is 9 feet, and the height is 4 feet.
**Answer Section:**
The area is [ ].
(Simplify your answer. Type an integer or a decimal.)
To calculate the area of the trapezoid, use the formula:
\[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \]
Substitute the given values:
\[ \text{Area} = \frac{1}{2} \times (6 \, \text{ft} + 9 \, \text{ft}) \times 4 \, \text{ft} \]
\[ \text{Area} = \frac{1}{2} \times 15 \, \text{ft} \times 4 \, \text{ft} \]
\[ \text{Area} = \frac{1}{2} \times 60 \, \text{ft}^2 \]
\[ \text{Area} = 30 \, \text{ft}^2 \]
Students should input the calculated area in the provided answer box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7478f3ff-450f-4594-a228-00148c8ad59c%2F87a409e6-58bb-4b93-a590-7b29ee865166%2Fc1q1abv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question: Find the area of the figure.**
**Diagram Description:**
The image shows a trapezoid with its dimensions labeled. The top base is 6 feet, the bottom base is 9 feet, and the height is 4 feet.
**Answer Section:**
The area is [ ].
(Simplify your answer. Type an integer or a decimal.)
To calculate the area of the trapezoid, use the formula:
\[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \]
Substitute the given values:
\[ \text{Area} = \frac{1}{2} \times (6 \, \text{ft} + 9 \, \text{ft}) \times 4 \, \text{ft} \]
\[ \text{Area} = \frac{1}{2} \times 15 \, \text{ft} \times 4 \, \text{ft} \]
\[ \text{Area} = \frac{1}{2} \times 60 \, \text{ft}^2 \]
\[ \text{Area} = 30 \, \text{ft}^2 \]
Students should input the calculated area in the provided answer box.
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