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1. Find the perimeter and area of the following parallelogram. 5 in 20 in 4 in

1. Find the perimeter and area of the following parallelogram. 5 in 20 in 4 in

Elementary Geometry For College Students, 7e
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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**Problem 1:** Find the perimeter and area of the following parallelogram. **Diagram Description:** The given image depicts a parallelogram. It consists of the following measurements: - The base of the parallelogram is labeled as 20 inches. - One side (height) is labeled as 5 inches. - A perpendicular height from the base to the opposite side is shown as a dashed line and is labeled as 4 inches. **Solution Steps:** 1. **Perimeter:** - The perimeter of a parallelogram is calculated as the sum of the lengths of all sides. - Formula: Perimeter = 2(base + side) - Substitute the given values: Perimeter = 2(20 in + 5 in) - Calculate: Perimeter = 2(25 in) = 50 inches 2. **Area:** - The area of a parallelogram is calculated using the base and the corresponding height. - Formula: Area = base × height - Substitute the given values: Area = 20 in × 4 in - Calculate: Area = 80 square inches The perimeter of the parallelogram is 50 inches, and the area is 80 square inches.
Transcribed Image Text:**Problem 1:** Find the perimeter and area of the following parallelogram. **Diagram Description:** The given image depicts a parallelogram. It consists of the following measurements: - The base of the parallelogram is labeled as 20 inches. - One side (height) is labeled as 5 inches. - A perpendicular height from the base to the opposite side is shown as a dashed line and is labeled as 4 inches. **Solution Steps:** 1. **Perimeter:** - The perimeter of a parallelogram is calculated as the sum of the lengths of all sides. - Formula: Perimeter = 2(base + side) - Substitute the given values: Perimeter = 2(20 in + 5 in) - Calculate: Perimeter = 2(25 in) = 50 inches 2. **Area:** - The area of a parallelogram is calculated using the base and the corresponding height. - Formula: Area = base × height - Substitute the given values: Area = 20 in × 4 in - Calculate: Area = 80 square inches The perimeter of the parallelogram is 50 inches, and the area is 80 square inches.
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