document.write( "Question 795474: The perimeter of a rectangle is 53cm. If the length is four times the width decreased by 11cm, find its dimensions. \n" ); document.write( "
Algebra.Com's Answer #481002 by waynest(281)![]() ![]() ![]() You can put this solution on YOUR website! length = 4w - 11 \n" ); document.write( "width = w \n" ); document.write( "perimeter = 53\r \n" ); document.write( "\n" ); document.write( "2w + 2(4w - 11) = 53 \n" ); document.write( "2w + 8w - 22 = 53 \n" ); document.write( "19w - 22 + 22 = 53 + 22 \n" ); document.write( "10w = 75 \n" ); document.write( "10w/10 = 75/10 \n" ); document.write( "w = 7.5\r \n" ); document.write( "\n" ); document.write( "check: \n" ); document.write( "2(7.5) + 2(4(7.5) - 11) = 53 \n" ); document.write( "15 + 2( 30 - 11) = 53 \n" ); document.write( "15 + 2(19) = 53 \n" ); document.write( "15 + 38 = 53 \n" ); document.write( "53 = 53 \n" ); document.write( " |