document.write( "Question 789697: if two opposite sides of a square are each increased by 3 cm, and the other two sides are each decreased by 2 cm, the area is increased by 8 cm. find the length of a side of the square. \n" ); document.write( "
Algebra.Com's Answer #478923 by ankor@dixie-net.com(22740)\"\" \"About 
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if two opposite sides of a square are each increased by 3 cm, and the other two sides are each decreased by 2 cm, the area is increased by 8 cm.
\n" ); document.write( " find the length of a side of the square.
\n" ); document.write( ":
\n" ); document.write( "let s = the side of the original square
\n" ); document.write( "then
\n" ); document.write( "s^2 = the original area
\n" ); document.write( ":
\n" ); document.write( "Equation for the new area
\n" ); document.write( "(s+3)(s-2) = s^2 + 8
\n" ); document.write( "FOIL
\n" ); document.write( "s^2 - 2s + 3s - 6 = s^2 + 8
\n" ); document.write( "subtract s^2 from both side
\n" ); document.write( "-2s + 3s = 8 + 6
\n" ); document.write( "s = 14 is the side of the square
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\n" ); document.write( ":
\n" ); document.write( "see if that checks out
\n" ); document.write( "14^2 = 196 the original area
\n" ); document.write( "17 * 12 = 196 + 8
\n" ); document.write( "204 = 204 \n" ); document.write( "
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