Elementary Algebra

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

Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3: 64

Answer

The sides are 30, 65 and 40 yards.

Work Step by Step

Let X represent the smallest side. Twice the length of the shortest side means 2X. 5 yards longer than twice the length of the shortest side means 2X + 5 10 yards longer than the shortest side means X + 10 So, the three sides are X, 2X + 5 and X + 10. The perimeter is 135, so we can set up the following equation: X + 2X + 5 + X + 10 = 135 4X + 15 = 135 Subtract 15 from both sides 4X = 120 Divide both sides by 4 X = 30 Since X = 30, 2X + 5 = 65 and X + 10 = 40
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