document.write( "Question 974949: Joy wants to buy carpet for a room that is 19 ft wide and 26 ft. long. She wants to leave a uniform strip of flooring around the carpet. She can afford to purchase 198 sq. ft. of carpet. What should the dimensions of the carpet be? \n" ); document.write( "
Algebra.Com's Answer #596767 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
w, width of room
\n" ); document.write( "L, length of room
\n" ); document.write( "u, uniform width around carpet
\n" ); document.write( "A, area of carpet-
\n" ); document.write( "-
\n" ); document.write( "w=19
\n" ); document.write( "L=26
\n" ); document.write( "u, UNKNOWN
\n" ); document.write( "A=198
\n" ); document.write( "-
\n" ); document.write( "Finding u will allow for finding dimensions of the carpet\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"wL-A\", the area of the uniform strip between walls and carpet
\n" ); document.write( "\"%28w-2u%29%28L-2u%29=A\", the dimensions of the carpet arranged to express carpet's area A.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"wL-2Lu-2wu%2B4u%5E2-A=0\"
\n" ); document.write( "\"4u%5E2-%282L%2B2w%29u%2BwL-A=0\"
\n" ); document.write( "\"4u%5E2-2%28L%2Bw%29u%2BwL-A=0\"
\n" ); document.write( "Doing the substitutions now might be much more comfortable...
\n" ); document.write( "\"4u%5E2-2%2826%2B19%29u%2B26%2A19-198=0\"
\n" ); document.write( "\"4u%5E2-90u%2B296=0\"
\n" ); document.write( "\"highlight_green%282u%5E2-45u%2B148=0%29\"
\n" ); document.write( "Try the general solution for a quadratic equation to solve for u.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"u=%2845%2B-+sqrt%2845%5E2-4%2A2%2A148%29%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"u=%2845%2B-+sqrt%28841%29%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"u=%2845%2B-+29%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28u=4%29\" or \"cross%28u=18.5%29\"
\n" ); document.write( "Obviously only u=4 makes sense.\r
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\n" ); document.write( "\n" ); document.write( "---------------------------
\n" ); document.write( "Rug width, 11
\n" ); document.write( "Rug length, 18
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