document.write( "Question 204730: a rancher removed 200 ft of fence from a field on his ranch. he wishes to reuse teh fencing to create a rectangular corral into which he will build a 6 ft wide wooden gate. what dimensions will result in the greatest possible area?
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Algebra.Com's Answer #154522 by ankor@dixie-net.com(22740)\"\" \"About 
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rancher removed 200 ft of fence from a field on his ranch.
\n" ); document.write( " he wishes to reuse the fencing to create a rectangular corral into which he
\n" ); document.write( " will build a 6 ft wide wooden gate.
\n" ); document.write( "what dimensions will result in the greatest possible area?
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\n" ); document.write( "Let the side with the gate = (L-6)
\n" ); document.write( "then:
\n" ); document.write( "L + (L-6) + 2W = 200
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\n" ); document.write( "2L + 2W = 200 + 6
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\n" ); document.write( "2L + 2W = 206
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "L + W = 103
\n" ); document.write( "W = (103-L)
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\n" ); document.write( "The Area equation: A = L * W
\n" ); document.write( "Replace W with (103-L)
\n" ); document.write( "A = L(103-L)
\n" ); document.write( "A = -L^2 + 103L
\n" ); document.write( "Find the max area by finding the axis of symmetry
\n" ); document.write( "L = \"%28-103%29%2F%282%2A-1%29\"
\n" ); document.write( "L = +51.5, length for max area
\n" ); document.write( "Find W:
\n" ); document.write( "W = 103 - 51.5
\n" ); document.write( "W = 51.5
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\n" ); document.write( "Dimensions for max area: 51.5 by 51.5
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\n" ); document.write( "Check: 51.5 + (51.5-6) + 2(51.5) = 200 \n" ); document.write( "
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