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  # Optimization problem dealing with a fence and area.
  
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  A farmer has 600 feet of fencing with which to enclose a rectangular plot. What is the maximum area he can enclose?
  
  Hint: Find a model for the area of the rectangular plot and maximize by completing the square
  
  https://brainmass.com/math/optimization/optimization-problem-determining-maximum-area-6168
  
  #### Solution Preview
  
  First let's find the function we want to maximize.
  Le x and y be sides of a rectangular plot. We know that its perimeter has to be 600 feet.
  So 2x+2y=600
  => x+y=600
  => ...
  
  #### Solution Summary
  
  The maximum area of a fenced enclosure is found by completing the square.
  
  \$2.49
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