document.write( "Question 987506: The length of a rectangle is 50 centimeters longer than the width. If the perimeter of the rectangle is 220 centimeters, find the width and the length. \n" ); document.write( "
Algebra.Com's Answer #608260 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! w = width \n" ); document.write( "w + 50 = length {length is 50 longer than the width}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter of a rectangle = 2(width) + 2(length)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2w + 2(w + 50) = 220 {substituted width and length into perimeter formula} \n" ); document.write( "2w + 2w + 100 = 220 {used distributive property} \n" ); document.write( "4w + 100 = 220 {combined like terms} \n" ); document.write( "4w = 120 {subtracted 100 from each side} \n" ); document.write( "w = 30 {divided each side by 4} \n" ); document.write( "w + 50 = 80 {substituted 30, in for w, into w + 50}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "width = 30 cm \n" ); document.write( "length = 80 cm \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |