document.write( "Question 330744: A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 15 feet by 23 feet and the of the rug is 240 square feet, jpow wide will the border be? \n" ); document.write( "
Algebra.Com's Answer #237353 by ankor@dixie-net.com(22740)\"\" \"About 
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A rug is to fit in a room so that a border of even width is left on all four sides.
\n" ); document.write( " If the room is 15 feet by 23 feet and the of the rug is 240 square feet,
\n" ); document.write( "How wide will the border be?
\n" ); document.write( ":
\n" ); document.write( "Let x = the width of the border
\n" ); document.write( "Then the dimensions of the rug will be: (15-2x) by (23-2x)
\n" ); document.write( "The area:
\n" ); document.write( "(15-2x) * (23-2x) = 240
\n" ); document.write( "FOIL
\n" ); document.write( "345 - 30x - 46x + 4x^2 = 240
\n" ); document.write( "Arrange as a quadratic equation
\n" ); document.write( "4x^2 - 76x + 345 - 240 = 0
\n" ); document.write( ":
\n" ); document.write( "4x^2 - 76x + 105 = 0
\n" ); document.write( "two solutions
\n" ); document.write( "(2x - 3)(2x - 35) = 0
\n" ); document.write( "only one solution makes sense
\n" ); document.write( "2x = 3
\n" ); document.write( "x = 1.5 ft border around the rug
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution: (15-3) * (23-3) = 240 \n" ); document.write( "
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