engineering mathematics 1

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your father wants to fence a rectangular area in your backyard for a garden. one side of the garden is along rhe edgeof the yard is already fenced, so you only need to build a new fence along the other 3 sides of rectangle. if you have 80 meter of fencing available, what dimensions should the garden have in order to enclose the largest possible area?

  • engineering mathematics 1 -

    you have 2x+y=80
    and you want the maximum area,

    a = xy = x(80-2x)

    find the vertex of that parabola for max area. You will find that the fence is equally distributed among the lengths and widths.

    That is,
    2x = 40
    y = 40

    so the max area pen is 20x40

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