document.write( "Question 982388: a rectangular pool measuring 46 feet by 78 feet is surrounded by a path of uniform width around the 4 edges. the perimeter of the bigger rectangle formed by the pool and the surrounding path is 320 feet. find the width of the path. \n" ); document.write( "

Algebra.Com's Answer #603207 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "Make width of path = 'x'
\n" ); document.write( "The width of the pool = 46ft
\n" ); document.write( "Width of pool + path = 46 + 2x
\n" ); document.write( "The length of the pool = 78ft
\n" ); document.write( "The length of the pool + path = 78 + 2x
\n" ); document.write( "Perimeter = 2 x Width + 2 x Length
\n" ); document.write( "320 = 2(46 + 2x)+ 2(78 + 2x)
\n" ); document.write( "320 = 92 + 4x + 156 + 4x
\n" ); document.write( "Collect like terms
\n" ); document.write( "4x + 4x = 320 -92 - 156
\n" ); document.write( "8x = 72
\n" ); document.write( "x = 9
\n" ); document.write( "The path's width is 9ft
\n" ); document.write( "Proof:
\n" ); document.write( "Perimeter = 2 x Width + 2 x Length
\n" ); document.write( "320 = 2(46 + 2x) + 2(78 + 2x)
\n" ); document.write( "320 = 2(46 + 18) + 2(78 + 18)
\n" ); document.write( "320 = 2(64) + 2(96)
\n" ); document.write( "320 = 128 + 192
\n" ); document.write( "320 = 320
\n" ); document.write( "Hope this helps:-) \n" ); document.write( "

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