document.write( "Question 92858: If the sides of a square are decreased by 2 cm, the area is decreased by 36cm^2. What were the dimensions of the original square?\r
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Algebra.Com's Answer #67581 by checkley75(3666)\"\" \"About 
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X^2=AREA OF ORIGINAL SQUARE
\n" ); document.write( "X^2-36=(X-2)(X-2)
\n" ); document.write( "X^2-36=(X-2)(X-2)
\n" ); document.write( "X^2-36=X^2-4X=4
\n" ); document.write( "X^2-X^2+4X=4+36
\n" ); document.write( "4X=40
\n" ); document.write( "X=40/4
\n" ); document.write( "X=10 ANSWER FOR THE ORIGINAL SIDE LENGTH.
\n" ); document.write( "PROOF
\n" ); document.write( "10*10-36=(8*8)
\n" ); document.write( "100-36=64
\n" ); document.write( "64=64
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