Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1: 58

Answer

The width of the rectangle is 36 centimeters.

Work Step by Step

Let w represent the width of the rectangle. The ratio of the width to its length is $\frac{4}{5}$, and the length is 45 centimeters. We set up the following proportion: $\frac{4}{5}$ = $\frac{w}{45}$ We cross multiply to obtain: 4 $\times$ 45 = 5 $\times$ w 180 = 5w Divide both sides by 5. w = 36. The width of the rectangle is 36 centimeters.
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