Ask Question
2 June, 22:06

A rectangular deck is to be constructed using a rock wall as one side and fencing for the other three sides. There are 24 yards of fencing available. Determine the dimensions that would create the deck of maximum area. What is the maximum area? Enter only the maximum area. Do not include units in your answer.

+1
Answers (1)
  1. 2 June, 22:22
    0
    Area is maximum when x=6

    Step-by-step explanation:

    2x + y = 24

    y=24 - 2x

    area of fencing is given as

    A=xy

    =x (24-2x)

    = 24x-2x²

    A = 24x-2x²

    d/dx (A) = d/dx (24x-2x²)

    = 24 - 4x

    Equating it to 0

    0 = 24 - 4x

    x = 6

    taking second derivative is

    d/dx (dA/dx) = d/dx (24-4x)

    = - 4

    Hence area is maximum x = 6
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A rectangular deck is to be constructed using a rock wall as one side and fencing for the other three sides. There are 24 yards of fencing ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers