document.write( "Question 1123166: Cynthia Besch wants to buy a rug for a room that is 26 ft wide and 34 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 384 square feet of carpeting. What dimensions should the rug​ have? \n" ); document.write( "
Algebra.Com's Answer #739448 by greenestamps(13198)\"\" \"About 
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\n" ); document.write( "The room is 8 feet longer than it is wide. If the strip of floor around the rug is uniform, then the rug is also 8 feet longer than it is wide.

\n" ); document.write( "So let the width of the rug be x; then the length is x+8. And the area of the rug is to be 384:

\n" ); document.write( "\"x%28x%2B8%29+=+384\"
\n" ); document.write( "\"x%5E2%2B8x-384+=+0\"
\n" ); document.write( "\"%28x%2B24%29%28x-16%29+=+0\"
\n" ); document.write( "\"x+=+-24\" or \"x+=+16\"

\n" ); document.write( "Clearly the negative solution does not make sense in the actual problem. So the width is 16 feet, which means the length is 24 feet.
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