document.write( "Question 399329: cynthia besch wants to buy a rug for a room that is 12 ft wide and 15 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 108 ft^2 of carpeting. what dimensions should the rug have? \n" ); document.write( "

Algebra.Com's Answer #282769 by mananth(16946) $\"\"$ $\"About$

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cynthia besch wants to buy a rug for a room that is 12 ft wide and 15 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 108 ft^2 of carpeting. what dimensions should the rug have?\r
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\n" ); document.write( "rug area = 108 ft^2
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\n" ); document.write( "let width be x of the strip
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\n" ); document.write( "width of rug = 12-2x
\n" ); document.write( "length of rug = 15-2x
\n" ); document.write( "Area of rug = (12-2x)(15-2x)=108
\n" ); document.write( "180-24x-30x+4x^2=108
\n" ); document.write( "4x^2-54x+72=0
\n" ); document.write( "/2
\n" ); document.write( "2x^2-27x+36=0
\n" ); document.write( "2x^2-24x-3x+36=0
\n" ); document.write( "2x(x-12)-3(x-12)=0
\n" ); document.write( "(x-12)(2x-3)=0
\n" ); document.write( "x= 12 OR = x=1.5 feet.
\n" ); document.write( "The width will be 1.5 feet.\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "

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