document.write( "Question 1130473: Bill wants to build a rectangular garden against one side of his house. He bought 240 feet of fence. what is the dimension of the rectangular garden must be to maximize the area? \n" ); document.write( "
Algebra.Com's Answer #747142 by ankor@dixie-net.com(22740)\"\" \"About 
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Bill wants to build a rectangular garden against one side of his house.
\n" ); document.write( " He bought 240 feet of fence.
\n" ); document.write( " what is the dimension of the rectangular garden must be to maximize the area?
\n" ); document.write( ":
\n" ); document.write( "The perimeter of the fence only, three sides
\n" ); document.write( "L + 2w = 240
\n" ); document.write( "L = -2w + 240
\n" ); document.write( ":
\n" ); document.write( "Area
\n" ); document.write( "A = L*w
\n" ); document.write( "replace L with (-2w+240)
\n" ); document.write( "A = w(-2w+240)
\n" ); document.write( "A = -2w^2 + 240w
\n" ); document.write( "Max area occurs on the axis of symmetry. Find this using formula: x = -b/(2a)
\n" ); document.write( "In the above equation a=-2; b=240
\n" ); document.write( "w = \"%28-240%29%2F%282%2A-2%29\"
\n" ); document.write( "w = 60 ft width will give max area
\n" ); document.write( "find L
\n" ); document.write( "L = -2(60) + 240
\n" ); document.write( "L = 120 ft is the length
\n" ); document.write( ":
\n" ); document.write( "Garden dimensions of 120 by 60 will give max area. (7200sq/ft) \n" ); document.write( "
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