document.write( "Question 1204207: THE PERIMETER OF A RECTANGLE IS 20 CM AND ITS AREA IS 24 SQ.M. FIND THE LENGHT AND THE WIDTH OF THE RECTANGLE. \n" ); document.write( "
Algebra.Com's Answer #840302 by mananth(16946)![]() ![]() You can put this solution on YOUR website! THE PERIMETER OF A RECTANGLE IS 20 CM AND ITS AREA IS 24 SQ.M. FIND THE LENGHT AND THE WIDTH OF THE RECTANGLE.\r \n" ); document.write( "\n" ); document.write( "Let length of rectangle be x \n" ); document.write( "and width be y\r \n" ); document.write( "\n" ); document.write( "2x+2y =20 (perimeter)\r \n" ); document.write( "\n" ); document.write( "x*y = 24 (Area)\r \n" ); document.write( "\n" ); document.write( "y=24/x\r \n" ); document.write( "\n" ); document.write( "2x+2y =20 \n" ); document.write( "divide by 2 \n" ); document.write( "x+y=10 \n" ); document.write( "substitute y =24/x\r \n" ); document.write( "\n" ); document.write( "x+24/x =10\r \n" ); document.write( "\n" ); document.write( "multiply by x\r \n" ); document.write( "\n" ); document.write( "x^2+24=10x\r \n" ); document.write( "\n" ); document.write( "x^2-10x-24=0\r \n" ); document.write( "\n" ); document.write( "factorise\r \n" ); document.write( "\n" ); document.write( "(x-6)(x-4)=0\r \n" ); document.write( "\n" ); document.write( "x=6 OR 4\r \n" ); document.write( "\n" ); document.write( "The dimensions of rectangle are 6cm and 4 cm\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |