document.write( "Question 92713: Geomatry. If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2. What were the dimensions of the original square? \n" ); document.write( "
Algebra.Com's Answer #67494 by ankor@dixie-net.com(22740)\"\" \"About 
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If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2. What were the dimensions of the original square?
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\n" ); document.write( "Let x = side of the original square
\n" ); document.write( "x^2 = area of the original square
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\n" ); document.write( "(x-2) = side of the new square
\n" ); document.write( "(x-2)^2 = area of the new square
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\n" ); document.write( "Original square area - new square area = 36 cm^2
\n" ); document.write( " x^2 - (x-2)^2 = 36
\n" ); document.write( " x^2 -(x^2 - 4x + 4) = 36
\n" ); document.write( " x^2 - x^2 + 4x - 4 = 36
\n" ); document.write( " 4x = 36 + 4
\n" ); document.write( " 4x = 40
\n" ); document.write( " x = 10 cm is the side of the original square
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\n" ); document.write( "10^2 - 8^2 = 36 \n" ); document.write( "
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