document.write( "Question 895819: The length of a rectangular rug is 6 feet less than the width. If the aera of the rug is 72 ft^2, find the dimensions. \n" ); document.write( "
Algebra.Com's Answer #543042 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
The length of a rectangular rug is 6 feet less than the width. If the aera of the rug is 72 ft^2, find the dimensions.
\n" ); document.write( ".
\n" ); document.write( "Let w = width
\n" ); document.write( "then
\n" ); document.write( "w-6 = length
\n" ); document.write( ".
\n" ); document.write( "w(w-6) = 72
\n" ); document.write( "w^2 - 6w = 72
\n" ); document.write( "w^2 - 6w - 72 = 0
\n" ); document.write( "(w+6)(w-12) = 0
\n" ); document.write( "w = {-6, 12}
\n" ); document.write( "throw out the negative solution leaving:
\n" ); document.write( "w = 12 ft (width)
\n" ); document.write( "length:
\n" ); document.write( "w-6 = 12-6 = 6 ft (length) \n" ); document.write( "
\n" );