document.write( "Question 916965: mary and glen want to buy a rug tor a room that is 14 by 15 feet. They want to leave an even strip of flooring uncovered around the edges of the room. How wide a strip if they buy a rug with an area of 110 square feet ? \n" ); document.write( "
Algebra.Com's Answer #556429 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Let w be the uniform width of uncovered floor.\r
\n" ); document.write( "\n" ); document.write( "Rug area is \"%2814-2w%29%2815-2w%29\"
\n" ); document.write( "Rug area is also given as 110 square feet.\r
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\n" ); document.write( "\n" ); document.write( "\"%2814-2w%29%2815-2w%29=110\", equality of the two area numbers
\n" ); document.write( "\"2%2A%287-w%29%2815-2w%29=55%2A2\"
\n" ); document.write( "\"%287-w%29%2815-2w%29=55\"
\n" ); document.write( "\"105-15w-14w%2B2w%5E2=55\"
\n" ); document.write( "\"50-29w%2B2w%5E2=0\"
\n" ); document.write( "\"highlight_green%282w%5E2-29w%2B50=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "You can try to factor that, or just use general formula for solution of quadratic equation.\r
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\n" ); document.write( "\n" ); document.write( "\"w=%2829%2B-+sqrt%2829%5E2-4%2A2%2A50%29%29%2F%282%2A2%29\"
\n" ); document.write( "\"w=%2829%2B-+sqrt%28441%29%29%2F%282%2A2%29\"
\n" ); document.write( "\"w=%2829%2B-+21%29%2F4\"---- Only one of which should make sense.\r
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\n" ); document.write( "\n" ); document.write( "\"cross%28w=12.5%29\" or \"highlight%28w=2%29\"
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