document.write( "Question 266207: 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 16 feet by 25 feet and the area of the rug is 220 square feet, how wide will the border be? \n" ); document.write( "
Algebra.Com's Answer #195620 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 16 feet by 25 feet and the area of the rug is 220 square feet, how wide will the border
\n" ); document.write( ":
\n" ); document.write( "Let x = the width of the border around the rug
\n" ); document.write( "then
\n" ); document.write( "(25-2x) by (16-2x) the dimensions of the rug
\n" ); document.write( ":
\n" ); document.write( "The area equation
\n" ); document.write( "(25-2x)*(16-2x) = 220 sq/ft
\n" ); document.write( "FOIL
\n" ); document.write( "400 - 50x - 32x + 4x^2 = 220
\n" ); document.write( ":
\n" ); document.write( "Arrange as a quadratic equation
\n" ); document.write( "4x^2 - 82x + 400 - 220 = 0
\n" ); document.write( ":
\n" ); document.write( "4x^2 - 82x + 180 = 0
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "2x^2 - 41x + 90 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(2x - 5)(x - 18) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "2x = 5
\n" ); document.write( "x = 2.5 ft
\n" ); document.write( "and
\n" ); document.write( "x = 18 ft, obviously this not the solution
\n" ); document.write( ";
\n" ); document.write( "Border will be 2.5 ft
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this by finding the dimension of the rug, and then the area
\n" ); document.write( "(25 - 2(2.5))*(16 - 2(2.5)) =
\n" ); document.write( "(25 - 5) * (16 - 5) =
\n" ); document.write( "20 * 11 = 220 \n" ); document.write( "
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