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: 57

Answer

The length of the rectangle is 60 centimeters.

Work Step by Step

Let l represent the length of the rectangle. The ratio of the length of a rectangle to its width is $\frac{5}{2}$. We set up the following proportion: $\frac{5}{2}$ = $\frac{l}{24}$ We cross multiply to obtain: 5 $\times$ 24 = 2 $\times$ l 120 = 2l Divide both sides by 2. l = 60 The length of the rectangle is 60 centimeters.
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