document.write( "Question 405209: A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 20 inches more than the width. What are the dimensions of the carpet? \n" ); document.write( "
Algebra.Com's Answer #286251 by Jstrasner(112)![]() ![]() You can put this solution on YOUR website! Hey, \n" ); document.write( "So first the perimeter of a rectangle is 2L (length) + 2W (width) \n" ); document.write( "Therefore: \n" ); document.write( "2L + 2W = 184 \n" ); document.write( "Also: \n" ); document.write( "L = W + 20 \n" ); document.write( "We can substitute W + 2 for L in the first equation: \n" ); document.write( "2(W + 20) + 2W = 184 => 2W + 40 + 2W = 184 => 4W + 40 = 184 \n" ); document.write( "We subtract 40 from both sides: 4W = 144 \n" ); document.write( "Then we divide both sides by 4: W = 36 \n" ); document.write( "Then we plug this in to the other equation: L = 36 + 20 = 56 \n" ); document.write( "Therefore: \n" ); document.write( "Width = 36 \n" ); document.write( "Length = 56 \n" ); document.write( "I hope this helps! \n" ); document.write( " |