College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding - Page 556: 57


The length is $30$ ft, the width is $15$ ft.

Work Step by Step

Let x=width, y=length, in feet. Perimeter:$\qquad 2x+2y=90$ Given:$\qquad y=2x\qquad$(*) Substitute (*) into $2x+2y=90$ $2x+2(2x)=90$ $6x=90$ $x=15$ Back-substitute into (*) $y=2(15)=30$ The length is $30$ ft, the width is $15$ ft.
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