Ask Question
2 November, 17:17

A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for this garden

+2
Answers (1)
  1. 2 November, 17:50
    0
    The dimensions that would result to maximum area will be found as follows:

    let the length be x, the width will be 32-x

    thus the area will be given by:

    P (x) = x (32-x) = 32x-x²

    At maximum area:

    dP' (x) = 0

    from the expression:

    P' (x) = 32-2x=0

    solving for x

    32=2x

    x=16 inches

    thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for this garden ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers