document.write( "Question 902771: If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 6 meters, the area of the rectangle that is formed is 63 square meters. Find the area of the original square. \n" ); document.write( "
Algebra.Com's Answer #547522 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 6 meters, the area of the rectangle that is formed is 63 square meters. Find the area of the original square. \n" ); document.write( "-------- \n" ); document.write( "Equation: \n" ); document.write( "(s+12)(s-6) = 63 \n" ); document.write( "------ \n" ); document.write( "s^2 + 6s - 72 = 63 \n" ); document.write( "------ \n" ); document.write( "s^2 + 6x - 135 = 0 \n" ); document.write( "Factor:: \n" ); document.write( "(s-9)(s+15) = 0 \n" ); document.write( "----- \n" ); document.write( "Positive solution:: \n" ); document.write( "s = 9 meters \n" ); document.write( "----- \n" ); document.write( "Original area:: s^2 = 81 sq meters \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |