document.write( "Question 1204421: Cynthia Besch wants to buy a rug for a room that is 27ft wide and 35ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 609 square feet of carpeting. What dimensions should the rug​ have? \n" ); document.write( "
Algebra.Com's Answer #840653 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Let \"x+\"be the width of the uniform strip floor around the rug.\r
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\n" ); document.write( "\n" ); document.write( "Then the width of the rug is \"%2827+-+2x%29+\"and the length of the rug is \"%2835+-+2x%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%2827+-+2x%29%2835+-+2x%29+=+609\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2+-+124x+%2B+945+=609\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2+-+124x+%2B+945+-609=0\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2+-+124x+%2B+336=0\"\r
\n" ); document.write( "\n" ); document.write( "\"4%28x%5E2+-31x+%2B+84%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"4+%28x+-+28%29+%28x+-+3%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+3+\"
\n" ); document.write( "or
\n" ); document.write( "\"x+=+28\" (rejected as \"x\" must be less that the width of the room)\r
\n" ); document.write( "\n" ); document.write( "Hence,\r
\n" ); document.write( "\n" ); document.write( " the width of the rug is\"+27+-+2%283%29+=+21ft\"
\n" ); document.write( "and
\n" ); document.write( "the length of the rug is \"35+-+2%283%29+=+29ft\"\r
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