Precalculus (6th Edition) Blitzer

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

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 822: 90


length $90$ feet and width $70$ feet

Work Step by Step

Step 1. Assume the dimension of the length is $x$ feet and the other side is $y$ feet; we have the perimeter as $2x+2y=320$ or $x+y=160$ and $y=160-x$ Step 2. The total cost is given by $16x+2(5)y=2140$ or $8x+5y=1070$ Step 3. Use substitution; we have $8x+5(160-x)=1070$ or $3x=270$ and $x=90$ feet. Thus, $y=70$ feet.
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