Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises: 14

Answer

$b=12.7$ cm

Work Step by Step

The perimeter of a rectangle can be calculated as: $P=2a+2b$ where a and b are the width and the length of the rectangle. Here: $b=2a-2.5$, $P=40.6$ cm By substituting we get: $40.6=2a+2(2a-2.5)=2a+4a-5=6a-5$ $40.6=6a-5$ $6a=45.6$ $a=7.6$ cm $b=2a-2.5=2(7.6)-2.5=12.7$ cm
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