document.write( "Question 383262: the perimeter of a rectangle is 36 yd. The width is 18 yd less than twice the length. find the length and width of the rectangle \n" ); document.write( "
Algebra.Com's Answer #271420 by mandi08(1)![]() ![]() ![]() You can put this solution on YOUR website! Perimeter = 2W + 2L \n" ); document.write( "36 = 2W + 2L\r \n" ); document.write( "\n" ); document.write( "We will use L as our variable. \r \n" ); document.write( "\n" ); document.write( "L is the length; the width is 18 less than twice the length, therefore (2L - 18).\r \n" ); document.write( "\n" ); document.write( "Plug this in to the perimeter equation and you get: \n" ); document.write( "36 = 2(2L-18) + 2(L) \n" ); document.write( "36 = 4L - 36 + 2L \n" ); document.write( "72 = 4L + 2L \n" ); document.write( "72 = 6L \n" ); document.write( "L=12\r \n" ); document.write( "\n" ); document.write( "Now we know the length, so we need to figure out the width. The equation to find the width is: \n" ); document.write( "W = 2L - 18 \n" ); document.write( "W = 2(12) - 18 \n" ); document.write( "W = 24 - 18 \n" ); document.write( "W = 6 \n" ); document.write( " \n" ); document.write( " |