Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question
**Title: Calculating the Perimeter of Figure ABCDE** **Objective:** Find the perimeter of figure ABCDE. Round your answer to the nearest hundredth. **Description:** This task involves determining the perimeter of a polygon labeled as ABCDE on a coordinate grid. **Diagram Explanation:** - The coordinate plane shows a polygon with vertices marked A, B, C, D, and E. - The coordinates of the points are approximately: - A at (-3,0) - B at (0,4) - C at (3,4) - D at (3,0) - E at (-5,0) **Instructions:** 1. Calculate the distance between each pair of consecutive vertices using the distance formula: \[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] 2. Add all the distances together to find the total perimeter. 3. Ensure the final answer is rounded to the nearest hundredth for precision. **Mathematical Steps:** - Compute the lengths of the line segments AB, BC, CD, DE, and EA. - Sum these lengths to obtain the perimeter. This exercise helps in applying the distance formula and practicing arithmetic operations like addition and rounding. It is designed to enhance understanding of geometric properties and coordinate plane analysis.
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Transcribed Image Text:**Title: Calculating the Perimeter of Figure ABCDE** **Objective:** Find the perimeter of figure ABCDE. Round your answer to the nearest hundredth. **Description:** This task involves determining the perimeter of a polygon labeled as ABCDE on a coordinate grid. **Diagram Explanation:** - The coordinate plane shows a polygon with vertices marked A, B, C, D, and E. - The coordinates of the points are approximately: - A at (-3,0) - B at (0,4) - C at (3,4) - D at (3,0) - E at (-5,0) **Instructions:** 1. Calculate the distance between each pair of consecutive vertices using the distance formula: \[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] 2. Add all the distances together to find the total perimeter. 3. Ensure the final answer is rounded to the nearest hundredth for precision. **Mathematical Steps:** - Compute the lengths of the line segments AB, BC, CD, DE, and EA. - Sum these lengths to obtain the perimeter. This exercise helps in applying the distance formula and practicing arithmetic operations like addition and rounding. It is designed to enhance understanding of geometric properties and coordinate plane analysis.
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