document.write( "Question 415788: The rectangular swimming pool measures 40 feet by 60 feet and is surrounded by a path of uniform width around the four edges..The perimeter of the rectangle formed by the pool and the surrounding path is 248 feet. Determine the width of the path. \n" ); document.write( "
Algebra.Com's Answer #291589 by ankor@dixie-net.com(22740)\"\" \"About 
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The rectangular swimming pool measures 40 feet by 60 feet and is surrounded by a
\n" ); document.write( " path of uniform width around the four edges..
\n" ); document.write( "The perimeter of the rectangle formed by the pool and the surrounding path is 248 feet.
\n" ); document.write( " Determine the width of the path.
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\n" ); document.write( "Let x = the width of the path
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\n" ); document.write( "The surrounding path will add 2x to the pool dimensions, therefore
\n" ); document.write( "over all dimensions: (2x+40) by (2x+60)
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\n" ); document.write( "the overall perimeter
\n" ); document.write( "2(2x+40) + 2(2x+60) = 248
\n" ); document.write( "Simplify divide by 2, results
\n" ); document.write( "(2x + 40) + (2x + 60) = 124
\n" ); document.write( "combine like terms
\n" ); document.write( "2x + 2x + 40 + 60 = 124
\n" ); document.write( "4x + 100 = 124
\n" ); document.write( "4x = 124 - 100
\n" ); document.write( "4x = 24
\n" ); document.write( "x = \"24%2F4\"
\n" ); document.write( "x = 6 ft is the width of the path
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\n" ); document.write( "Check this by finding the perimeter with these values; 2x = 12 ft
\n" ); document.write( "2(12+40) + 2(12+60)
\n" ); document.write( "2(52 + 2(72)
\n" ); document.write( "104 + 144 = 248; confirms our solution of x=6 ft
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