Calculus 1

You have 4L feet of fence to make a rectangular vegetable garden alongside the wall of your house, where L is a positive constant. The wall of the house bounds one side of the vegetable garden. What is the largest possible area for the vegetable garden?

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  1. Perimater=4L=2width+1length
    or length=4L-2w

    area=width(4L-2W)

    darea/dw=(4L-2w) + w(-2)=0
    width=L
    length=2L

    check my thinking

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    bobpursley
  2. looks correct. The fence is divided equally among lengths and widths.

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  3. yes 2L^2 is correct

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