Ask questions and get helpful responses.

calculus

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.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  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

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. 80,000 ft^2 just like how we gonna go back to back

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Still need help? You can ask a new question.