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what is the largest are of rectangular area that can be enclosed in sixteen meter fence

  • math -

    I am sure that I have answered this one recently

    Let the width of the rectangle = w and the height = h

    2w+2h=16 or


    the area=wh or

    area = (8-h)h = 8h-h^2 =a

    there are a couple of ways to finding the maximum area. You could plot area against h and find where h is a maximum.

    Alternatively the area is a maximum when da/dh=0

    da/dh=8-2h, which is zero when h=4

    i.e. the maximum area is when h=4 and w=4

    so the largest area is 16 m^2

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