document.write( "Question 715600: If two opposite sides of a square are increased by 10 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 76 square meters. Find the area of the original square. \n" ); document.write( "
Algebra.Com's Answer #439503 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the side of square be x\r \n" ); document.write( "\n" ); document.write( "x+10 \n" ); document.write( "and x-5 are the sides of the rectangle\r \n" ); document.write( "\n" ); document.write( "(x+10)(x-5)= 76\r \n" ); document.write( "\n" ); document.write( "x^2-5x+10x-50=76\r \n" ); document.write( "\n" ); document.write( "x^2+5x-126=0\r \n" ); document.write( "\n" ); document.write( "x^2+14x-9x-126=0\r \n" ); document.write( "\n" ); document.write( "x(x+14)-9(x+14)=0\r \n" ); document.write( "\n" ); document.write( "(x+14)(x-9)=0\r \n" ); document.write( "\n" ); document.write( "x=-14 OR 9\r \n" ); document.write( "\n" ); document.write( "ignore negative \r \n" ); document.write( "\n" ); document.write( "side of square is 9\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |