(using calculus) A 184m^2 rectangular corn field is surrounded to be a fence and divided into 2 equal parts by another fence (cont below)?

another fence parallel to two of the sides of the rectangle. What dimensions for the field will require the shortest total length of fencing? What length of fencing will be required?

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  • david
    Lv 7
    3 weeks ago

    x, y are length, width of field

    xy  = 184  ...  y = 184/x

    Total fence  3x + 2y

      f(x) = 3x + 2(184/x)

      f'  =  3 - 368/x^2 = 0

         3x^2 -  368 = 0

        x = 11.0755 m 

       y = 16.613m

     3x + 2y = 33.2265m<<<  length of fencing

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