A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Shortest length: A rancher wants to fence in an area of square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How many square feet? It didn't show.

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    woops! 500,000!

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Your primary equation will be to describe the perimeter of the fenced in area, which for a rectangle would be P=2x+2y. However, because of the divide down the middle, it is instead P=3x+2y (it will be equal in length to one of the sides). You need to find an equation to relate x and y so that you can substitute one for the other, and this can be done with your area. The area equals side x times side y, so xy=500,000.

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Substituting for one variable or the other gives you a "good" primary equation - one that is written in one variable. Derive with respect to that variable, and you will be able to find your critical numbers.

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i thought it would be P=x+3y, since it's a wall, and the rancher can only fence the top, and the sideways, and the middle of the wall?

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I had assumed that there were no barriers on a side. One could reduce the number of sides of the perimeter if, say, there were a river on one side of the field. However, barring anything that will serve as a wall already, my equation stands.

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Another possible complication of a pre existing wall would be whether the equation would be P=2x+2y or P=x+3y, because the question did not state which side the divide in the middle was to be parallel to. Therefore, I assumed that there were no pre existing walls.

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i see! that made sense to me thanks!

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.