document.write( "Question 152202: A rectangular swimming pool measures 25m by 6m. It is surrounded by a path of uniform width. If the area of the path is 102m2, find the width of the path. \n" ); document.write( "
Algebra.Com's Answer #111882 by nerdybill(7384)\"\" \"About 
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A rectangular swimming pool measures 25m by 6m. It is surrounded by a path of uniform width. If the area of the path is 102m2, find the width of the path.
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\n" ); document.write( "\"area of path\" equals \"area of pool and path\" minus \"area of pool\"
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\n" ); document.write( "Let x = width of the path
\n" ); document.write( "then
\n" ); document.write( "\"area of pool and path\" = (x+25)(x+6) = x^2+31x+150
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\n" ); document.write( "\"area of pool\" = 25*6 = 150
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\n" ); document.write( "The problem gave us the \"area of path\" as 102 sq meters
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\n" ); document.write( "Putting it all together we have:
\n" ); document.write( "\"area of path\" equals \"area of pool and path\" minus \"area of pool\"
\n" ); document.write( "102 = (x^2+31x+150) - 150
\n" ); document.write( "102 = x^2+31x+150 - 150
\n" ); document.write( "102 = x^2+31x
\n" ); document.write( "0 = x^2+31x-102
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\n" ); document.write( "Factoring the right we have:
\n" ); document.write( "0 = (x-3)(x+34)
\n" ); document.write( "x = {3,-34}
\n" ); document.write( "Since a negative number doesn't make sense our solution is therefore:
\n" ); document.write( "3 meters is the width of the path\r
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