### Finding the Area of a ParallelogramIn 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 metersSubstitute 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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Find the area of the parallelogram below. 21 m 15 m2 33 m 125 m2 21 m 693 m2

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

### 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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