SOLUTION: if the length of each side of a square is increased by 4 inches, the area of the square becomes 9 times greater. Find the perimeter of the original square
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Question 687430: if the length of each side of a square is increased by 4 inches, the area of the square becomes 9 times greater. Find the perimeter of the original square Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! if the length of each side of a square is increased by 4 inches, the area of the square becomes 9 times greater. Find the perimeter of the original square.
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let x=original length of each side of a square
x^2=area of original square
(x+4)=side increased by 4
(x+4)^2=area of larger square
(x+4)^2=9x^2
x^2+8x+16=9x^2
8x^2-8x-16=0
x^2-x-2=0
(x-2)(x+1)=0
x=-1(reject)
or
x=2
perimeter of the original square=4x=8 inches
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