document.write( "Question 460969: Cynthia Besch wants to buy a rug for a room that is 11 ft. wide and 30 ft. long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 252 sq. ft. of carpeting. What dimensions should the rug have? \n" ); document.write( "
Algebra.Com's Answer #316261 by ankor@dixie-net.com(22740)\"\" \"About 
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Cynthia Besch wants to buy a rug for a room that is 11 ft. wide and 30 ft. long.
\n" ); document.write( " She wants to leave a uniform strip of floor around the rug. She can afford to buy 252 sq. ft. of carpeting.
\n" ); document.write( " What dimensions should the rug have?
\n" ); document.write( ":
\n" ); document.write( "Let x = the width of the uniform strip around the rug
\n" ); document.write( "then the rug dimensions will be: {11-2x) by (30-2x)
\n" ); document.write( ":
\n" ); document.write( "The rug area equation
\n" ); document.write( "{11-2x)*(30-2x) = 252
\n" ); document.write( ":
\n" ); document.write( "FOIL
\n" ); document.write( "330 - 22x - 60x + 4x^2 = 252
\n" ); document.write( ":
\n" ); document.write( "A quadratic equation
\n" ); document.write( "4x^2 - 82x + 330 - 252 = 0
\n" ); document.write( "4x^2 - 82x + 78 = 0
\n" ); document.write( ":
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "2x^2 - 41x + 39 = 0
\n" ); document.write( ":
\n" ); document.write( "This will factor to
\n" ); document.write( "(2x - 39)(x - 1) = 0
\n" ); document.write( "only one solution will make sense
\n" ); document.write( "x = 1 ft is the uniform width around the rug
\n" ); document.write( ":
\n" ); document.write( "then the rug dimensions are:
\n" ); document.write( "11 - 2(1) = 9 ft
\n" ); document.write( "30 - 2(1) = 28 ft
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\n" ); document.write( ":
\n" ); document.write( "Check this by finding the area of the rug with these dimensions;
\n" ); document.write( "9 * 28 = 252; confirms our solution \n" ); document.write( "
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