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If 800 feet of fencing is used to enclose a rectangular plot of land that borders a river, what is the maximum area that can be enclosed? Answer to the nearest square foot without commas. For example, if the answer is 1,000, write 1000.

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emma

  1. p + 2 q = 800 so p = 800 - 2 q

    A = p q = (800 - 2q)q

    A = -2 q^2 + 800 q
    now you could find the vertex of this parabola easily with Algebra 2 by completing the square but you said calculus so
    dA/dq = 0 at max = -4 q + 800
    or
    q = 200
    then
    p = 800 - 400 = 400
    so
    A = 80,000 ft^2 or about two acres

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    Damon

  2. 80,000 ft^2 just like how we gonna go back to back

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    Lebron

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