Answer
8 m
Work Step by Step
$x*x+x*(x+6)=176$
$x^2+x^2+6x=176$
$2x^2+6x-176=0$
$2(x^2+3x-88=0)$
$x^2+3x-88=0$
$x^2+11x-8x-88=0$
$x(x+11)-8(x+11)=0$
$(x+11)(x-8)=0$
$x+11=0$
$x=-11$ (invalid since we can't have negative lengths)
$x-8=0$
$x=8$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
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: 51
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