document.write( "Question 935404: In the middle of a rectangular room, is a rectangular rug, 13 feet by 15 feet. A strip of hardware floor of uniform width is visible around the rug. If the area of the strip is 60 square feet, how wide (in feet) is the strip \n" ); document.write( "
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\n" ); document.write( "In the middle of a rectangular room, is a rectangular rug, 13 feet by 15 feet. A strip of hardware floor of uniform width is visible around the rug. If the area of the strip is 60 square feet, how wide (in feet) is the strip
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\n" ); document.write( "Let uniform width of hardwood floor, be W
\n" ); document.write( "Since shorter side of rug is 13 feet, shorter side of entire room = 13 + 2W
\n" ); document.write( "Since longer side of rug is 15 feet, longer side of entire room = 15 + 2W
\n" ); document.write( "Since area of entire room, equals area of rug, plus area of hardwood floor, it can be said that:
\n" ); document.write( "{13 + 2W)(15 + 2W) = 60 + 15(13)
\n" ); document.write( "\"195+%2B+56W+%2B+4W%5E2+=+60+%2B+195\"
\n" ); document.write( "\"195+%2B+56W+%2B+4W%5E2+=+255\"
\n" ); document.write( "\"4W%5E2+%2B+56W+%2B+195+-+255+=+0\"
\n" ); document.write( "\"4W%5E2+%2B+56W+-+60+=+0\"
\n" ); document.write( "\"4%28W%5E2+%2B+14W+-+15%29+=+4%280%29\"
\n" ); document.write( "\"W%5E2+%2B+14W+-+15+=+0\"
\n" ); document.write( "(W - 1)(W + 15) = 0
\n" ); document.write( "W, or width of strip = \"highlight_green%281%29\" foot OR W = - 15 (ignore) \n" ); document.write( "
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