Elementary Algebra

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

Chapter 3 - Equations and Problem Solving - 3.5 - Problem Solving - Problem Set 3.5: 4

Answer

The width is 8 meters and the length is 41 meters.

Work Step by Step

Since the length is stated in terms of the width, we can let w represent the width. The length is 1 more than five times the width, or w, so the length is equal to 1 + 5w. The formula for the perimeter of the rectangle is width + width + length + length The perimeter of the rectangle is 98, so we set up the following equation: w + w + 1 + 5w + 1 + 5w = 98 12w + 2 = 98 Subtract 2 to both sides. 12w = 96 Divide both sides by 12. w = 8 Since the width is 8, the length is 1 + 5 $\times$ 8 = 41.
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