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)![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( ": \n" ); document.write( "Let x = the width of the path \n" ); document.write( ": \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) \n" ); document.write( ": \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 = \n" ); document.write( "x = 6 ft is the width of the path \n" ); document.write( ": \n" ); document.write( ": \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 \n" ); document.write( " |