document.write( "Question 251171: building a walkway of uniform width around 95x65 foot swimming pool. After walkway is complete, you want to build a fence around outter edge of walkway. You have 450 ft of fencing to enclose the walkway. What is the maximum width of the walkway? \n" ); document.write( "
Algebra.Com's Answer #182923 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Building a walkway of uniform width around 95x65 foot swimming pool. \n" ); document.write( " After walkway is complete, you want to build a fence around outer edge of walkway. \n" ); document.write( " You have 450 ft of fencing to enclose the walkway. What is the maximum width of the walkway? \n" ); document.write( ": \n" ); document.write( "Let x = the walkway width \n" ); document.write( "Then the overall dimensions, including the walkway: \n" ); document.write( "(2x+95) by (2x+65) \n" ); document.write( ": \n" ); document.write( "The perimeter: 2L + 2W = 450: \n" ); document.write( "therefore: \n" ); document.write( "2(2x+95) + 2(2x+65) = 480 \n" ); document.write( ": \n" ); document.write( "Simplify, divide by 2 \n" ); document.write( "(2x+95) + (2x+65) = 240 \n" ); document.write( ": \n" ); document.write( "Remove brackets, group like terms \n" ); document.write( "2x + 2x + 95 + 65 = 240 \n" ); document.write( "4x + 160 = 240 \n" ); document.write( "4x = 240 - 160 \n" ); document.write( "4x = 80 \n" ); document.write( "x = \n" ); document.write( "x = 20' is the width of the walkway \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check by finding the perimeter \n" ); document.write( "2(95 + 2(20)) + 2(65 + 2(20)) \n" ); document.write( "2(95 + 40) + 2(65 + 40) \n" ); document.write( "2(135) + 2(105) \n" ); document.write( "270 + 210 = 480 \n" ); document.write( " \n" ); document.write( " |