Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - Chapter 3 Review Problem Set: 44

Answer

The width of the rectangle is 6 meters. The length of the rectangle is 17 meters.

Work Step by Step

We can let w represent the width. The length is 5 meters longer than twice the width. Twice the width means 2 $\times$ w = 2w 5 meters longer than twice the width means 5 + 2w. So, the length is 5 + 2w. The formula for the perimeter of the rectangle is width + width + length + length The perimeter of the rectangle is 46, so we set up the following equation: w + w + 5 + 2w + 5 + 2w = 46 6w + 10 = 46 6w = 36 Divide both sides by 6 w = 6 The width of the rectangle is 6 meters. The length of the rectangle is 5 + 2 $\times$ 6 = 17 meters.
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