document.write( "Question 58191: A small city park consists of a rectangular lawn surrounded on all sides by a 330m sq. border of flowers 2.5m wide. Find the area of the lawn if the entire park is 5m longer than it is wide. \n" ); document.write( "
Algebra.Com's Answer #39804 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A small city park consists of a rectangular lawn surrounded on all sides by a 330m sq. border of flowers 2.5m wide. Find the area of the lawn if the entire park is 5m longer than it is wide. \n" ); document.write( ": \n" ); document.write( "I assume they mean the area of the border is 330 sq ft \n" ); document.write( ": \n" ); document.write( "Let x = length of the park; (x-5) = the width of the park \n" ); document.write( ": \n" ); document.write( "Divide the walkway into 4 narrow rectangles: \n" ); document.write( "2 ea: (x - 2.5) by 2.5 \n" ); document.write( "2 ea: (x - 7.5) by 2.5 \n" ); document.write( ": \n" ); document.write( "The area equation: \n" ); document.write( "2[(x-2.5)*2.5] + 2[(x-7.5)*2.5] = 330 \n" ); document.write( "2(2.5x - 6.25) + 2(2.5x - 18.75) = 330 \n" ); document.write( "5x - 12.5 + 5x - 37.5 = 330 \n" ); document.write( "10x - 50 = 330 \n" ); document.write( "10x = 330 + 50 \n" ); document.write( "10x = 380 \n" ); document.write( "x = 38 ft is the length, the width = 33 ft \n" ); document.write( ": \n" ); document.write( "Find the area of the entire park: 38*33 = 1254 sq ft. \n" ); document.write( "Area of the lawn = 1254 - 330 = 924 sq ft. \n" ); document.write( ": \n" ); document.write( "Check it by finding the dimensions of the lawn and finding the area from that: \n" ); document.write( "Lawn dimensions: (38-5) by (33-5): 33 * 28 = 924 sq ft also \n" ); document.write( " |