document.write( "Question 312114: The area of a rug is 36 square feet. The length of the rug is 5 feet longer than the width.
\n" ); document.write( "What is the width of the rug? \n" ); document.write( "

Algebra.Com's Answer #223151 by nerdybill(7384) $\"\"$ $\"About$

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The area of a rug is 36 square feet. The length of the rug is 5 feet longer than the width.
\n" ); document.write( "What is the width of the rug?
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\n" ); document.write( "width*length = area
\n" ); document.write( "Let w = width
\n" ); document.write( "then
\n" ); document.write( "w+5 = length
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\n" ); document.write( "w(w+5) = 36
\n" ); document.write( "w^2+5w = 36
\n" ); document.write( "w^2+5w-36 = 0
\n" ); document.write( "(w+9)(w-4) = 0
\n" ); document.write( "w = {-9, 4}
\n" ); document.write( "Toss out the negative solution leaving:
\n" ); document.write( "w = 4 feet
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