document.write( "Question 678007: If a swimming pool has a perimeter of 18 meters and covers an area of 18 square meters what are its dimensions? \n" ); document.write( "
Algebra.Com's Answer #421162 by ankor@dixie-net.com(22740)\"\" \"About 
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If a swimming pool has a perimeter of 18 meters and covers an area of 18 square meters what are its dimensions?
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\n" ); document.write( "Perimeter
\n" ); document.write( "2L + 2W = 18
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "L + W = 9
\n" ); document.write( "L = (9-W)
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\n" ); document.write( "Area
\n" ); document.write( "L * W = 18
\n" ); document.write( "replace L with (9-W)
\n" ); document.write( "W(9-W) = 18
\n" ); document.write( "A quadratic equation
\n" ); document.write( "-W^2 + 9W - 18 = 0
\n" ); document.write( "Easier to factor if coefficient of W^2 is positive, mult eq by -1
\n" ); document.write( "W^2 - 9W + 18 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(W-3)(W-6) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "W = 3, then L = 6
\n" ); document.write( "W = 6, then L = 3
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