Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.7 - Quadratic Equations and Problem Solving - Exercise Set - Page 468: 39

Answer

8 mi by 15 mi

Work Step by Step

x=length $w=x-7$ $a=120$ $a=w*x$ $120 = x*(x-7)$ $x^2-7x=120$ $x^2-7x-120=0$ $x^2-15x+8x-120=0$ $x(x-15)+8(x-15)=0$ $(x-15)(x+8)=0$ $x-15=0$ $x=15$ $x+8=0$ $x=-8$ (invalid answer since we can't have a negative length) $x=15$ (length) $w = 15-7$ $w=8$
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