document.write( "Question 1141591: Brady wants to buy a rug for a room that is 10 ft wide and 15 ft long. He wants to leave a uniform strip of floor around the rug. He can afford to buy 100 ft2
\n" ); document.write( ". How wide of a border can he have? (The area in gray is 100 ft2). You will need to use the quadratic formula.
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Algebra.Com's Answer #762163 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The rug + the border must fit in the 10 x 15 room
\n" ); document.write( "Let \"+A+\" = the area of the rug
\n" ); document.write( "Let \"+x+\" = the width of the border
\n" ); document.write( "\"+A+=+%28+10+-+2x+%29%2A%28+15+-+2x+%29+\"
\n" ); document.write( "\"+A+=+150+-+30x+-+20x+%2B+4x%5E2+\"
\n" ); document.write( "\"+A+=+4x%5E2+-+50x+%2B+150+\"
\n" ); document.write( "\"+A+=+100+\" ft2
\n" ); document.write( "\"+100+=+4x%5E2+-+50x+%2B+150+\"
\n" ); document.write( "\"+4x%5E2+-+50x+%2B+50+=+0+\"
\n" ); document.write( "\"+2x%5E2+-+25x+%2B+25+=+0+\"
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+2+\"
\n" ); document.write( "\"+b+=+-25+\"
\n" ); document.write( "\"+c+=+25+\"
\n" ); document.write( "\"+x+=+%28-%28-25%29+%2B-+sqrt%28+625+-+4%2A2%2A25+%29%29%2F4+\"
\n" ); document.write( "\"+x+=+%28+25+%2B-sqrt%28+625+-+200+%29%29%2F4+\"
\n" ); document.write( "\"+x+=+%28+25+-+sqrt%28+425+%29%29%2F4+\"
\n" ); document.write( "\"+x+=+%28+25+-+20.6155+%29%2F4+\"
\n" ); document.write( "\"+x+=+4.3845%2F4+\"
\n" ); document.write( "\"+x+=+1.0961+\" ft is the minimum width of the border
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+A+=+%28+10+-+2x+%29%2A%28+15+-+2x+%29+\"
\n" ); document.write( "\"+100+=+%28+10+-+2x+%29%2A%28+15+-+2x+%29+\"
\n" ); document.write( "\"+100+=+%28+10+-+2%2A1.0961+%29%2A%28+15+-+2%2A1.0961+%29+\"
\n" ); document.write( "\"+100+=+%28+10+-+2.1922+%29%2A%28+15+-+2.1922+%29+\"
\n" ); document.write( "\"+100+=+7.8078%2A12.8078+\"
\n" ); document.write( "\"+100+=+100.00074+\"
\n" ); document.write( "error due to rounding off
\n" ); document.write( "-----------------------------
\n" ); document.write( "get a 2nd opinion if needed\r
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