Answer
$4$
Work Step by Step
As per question, we have $(a+2)^2=36$
or, $a^2+4+4a-36=0$
or, $a^2+4a-32=0$
or, $a^2+8a-4a-32=0$
Thus, $(a-4)(a+8)=0$
This implies $a=-8,4$
Since, the side of a square cannot be negative, thus our answer is: $4$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 5 - Section 5.7 - Polynomial Equations and Their Applications - Exercise Set - Page 392: 74
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