document.write( "Question 816: The Brown Family wants to carpet their livig room, which is 13 ft. by 16 ft.
\n" ); document.write( "They want a border of uniform width of wood floor to show around the carpet. How wide should the border be if they can afford to carpet only 108 sq. ft?\r
\n" ); document.write( "\n" ); document.write( "Please tell me in steps how to solve this.\r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #268 by pushpaharan(47)\"\" \"About 
You can put this solution on YOUR website!
Let width of the border be x.
\n" ); document.write( "Therefore width of the carpet will be 13-2x (you have to subtract both sides)
\n" ); document.write( "Similarly length will be 16-2x.\r
\n" ); document.write( "\n" ); document.write( "Therefore area of the carpet = (16-2x)(13-2x) = 108
\n" ); document.write( "208 - 58x + 4x^2 = 108
\n" ); document.write( "4x^2 - 58x +100 = 0
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "Where a=4, b=-58, c=100
\n" ); document.write( "x=-2 or 12.5
\n" ); document.write( "But you know width of the border cannot be 12.5 because the width of the floor is only 13.
\n" ); document.write( "Therefore width of the border is 2 ft.\r
\n" ); document.write( "\n" ); document.write( "Hope you will understand
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