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
![### Finding the Area of a Parallelogram
In this example, we are given a parallelogram and asked to find its area.
#### Diagram Description:
- The parallelogram has two pairs of parallel sides.
- The base of the parallelogram is 21 meters.
- The height of the parallelogram, which is perpendicular to the base, is 33 meters.
#### Calculation:
To find the area of a parallelogram, use the formula:
\[ \text{Area} = \text{Base} \times \text{Height} \]
Given:
- Base (b) = 21 meters
- Height (h) = 33 meters
Substitute the given values into the formula:
\[ \text{Area} = 21 \, \text{m} \times 33 \, \text{m} = 693 \, \text{m}^2 \]
Therefore, the area of the parallelogram is 693 square meters.
#### Multiple Choice Options:
- 15 m²
- 125 m²
- 693 m² (Correct Answer)
- 347 m²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b5161d0-8c1c-4aef-9d6c-2e647d1b4222%2F4a35cb0d-750b-4a99-9bb5-9f5d45f0c4f7%2F405kvuo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Finding the Area of a Parallelogram
In this example, we are given a parallelogram and asked to find its area.
#### Diagram Description:
- The parallelogram has two pairs of parallel sides.
- The base of the parallelogram is 21 meters.
- The height of the parallelogram, which is perpendicular to the base, is 33 meters.
#### Calculation:
To find the area of a parallelogram, use the formula:
\[ \text{Area} = \text{Base} \times \text{Height} \]
Given:
- Base (b) = 21 meters
- Height (h) = 33 meters
Substitute the given values into the formula:
\[ \text{Area} = 21 \, \text{m} \times 33 \, \text{m} = 693 \, \text{m}^2 \]
Therefore, the area of the parallelogram is 693 square meters.
#### Multiple Choice Options:
- 15 m²
- 125 m²
- 693 m² (Correct Answer)
- 347 m²
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