SOLUTION: when 2 inches are added to each side of a square its area increase by 44 square inches. what was the perimeter of the initial square?
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Question 711655
:
when 2 inches are added to each side of a square its area increase by 44 square inches. what was the perimeter of the initial square?
Answer by
checkley79(3341)
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(X+2)^2=X^2+44
X^2+4X+4=X^2+44
X^2-X^2+4X=44-4
4X=40
X=40/4
X=10 INCHES FOR THE ORIGINAL SIDE OF THE SQUARE.
PROOF:
(10+2)^2=10^2+44
12^2=144
144=144