Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.8 - Modeling with Equations - Exercise Set - Page 123: 26

Answer

The width of the pool is $40$ yards, and the length is $120$ yards.

Work Step by Step

Let the width of the pool be $ w.$ We are told that the length is $3w.$ The perimeter equals 2$\times $(width + length) =$2(w+3w)=2(4w)=8w $ Given $8w=320$ We divide with $8.$ $ w=40$ Thus, the width of the pool is $40$ yards, and the length is $120$ yards.
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