Question 107404: If the sides of a square are decreased by 2 cm, the area is decreased by
36 cm2. What were the dimensions of the original square? Found 2 solutions by checkley75, josmiceli:Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website! (X-2)^2=X^2-36
X^2-4X+4=X^2-36
-4X=-36-4
-4X=-40
X=-40/-4
X=10 CM ANSWER FOR THE ORIGINAL DIMENSIONS OF THE SQUARE.
PROOF:
(10-2)^2=10^2-36
8^2=100-36
64=64
You can put this solution on YOUR website! Call the original area A and let x = side of original square
So, for the original square,
Now if x is decreased by 2, A is decreased by 36, so
but , so cm
So, the original square was 10x10 and A = 100
check this OK
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