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: 3

Answer

The width is 12 cm and the length is 34 cm.

Work Step by Step

Since the length is stated in terms of the width, we can let w represent the width. Since the length is 2 less than three times the width, or w, the length is equal to 3w - 2. The formula for the perimeter of the rectangle is width + width + length + length The perimeter of the rectangle is 92, so we set up the following equation: w + w + 3w - 2 + 3w - 2 = 92 8w - 4 = 92 Add 4 to both sides. 8w = 96 Divide both sides by 8. w = 12 Since w = 12, the length is equal to 3 $\times$ 12 - 2 = 34.
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