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As a farmer, suppose you want to fence off a rectangular field that borders a river....

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Advance Math

As a farmer, suppose you want to fence off a rectangular fieldthat borders a river. You wish to find out the dimensions of thefield that occupies the largest area, if you have 1200 feet offencing. Remember that a square maximizes area, so use a square inyour work.

  • Draw several diagrams to express the situation and calculatethe area for each configuration, then estimate the dimension oflargest possible field.
  • Find the function that models the area in terms of one of itssides.
  • Find the point that maximizes the function you found in thesecond bulleted item.
  • Calculate the area of the field at the point you found in thethird bulleted item, and then compare your results with the resultsin the first bulleted item.

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