SOLUTION: I am so stuck on these type of word problems, can I please get some help? A local farmer wants to fence in a rectangular pasture that is bordered on one side by a river. He plans

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Question 816257: I am so stuck on these type of word problems, can I please get some help? A local farmer wants to fence in a rectangular pasture that is bordered on one side by a river. He plans to use 2492 feet of fence to enclose the other three sides. What should the dimensions of the pasture be if he wants to enclose a maximum area?
Thank you :-)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Re Reply:  See below

rectangular pasture that is bordered on one side by a river. 

He plans to use 2492 feet of fence (along 3 sides of the pasture)

 L + 2W = 2492,  L = (2492-2W)

A =  %282492-2W%29W+=+-2W%5E2+%2B2492W+=+-2%28W%5E2+-1246W%29+=+-2%28W+-+623%29%5E2+%2B+776258

Maximum Area 776,258 ft^2 is achieved when the two sides are 623' 

and length(parallel to river) is 1246'   (2492 - 2(623))



Maximum Area is achieved by using a 'Square Pasture' only when fencing All 4 sides with a determined amount of fencing.