A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Please help :) A farmer wishes to enclose a pasture that is bordered on one side by a river (so one of the four sides won't require fencing). She has decided to create a rectangular shape for the area, and will use barbed wire to create the enclosure. There are 600 feet of wire available for this project, and she will use all the wire. What is the maximum area that can be enclosed by the fence? (Hint: Use this information to create a quadratic function for the area enclosed by the fence, then find the maximum of the function.)

  • This Question is Closed
  1. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1437272760059:dw|

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

    how would i solve for the maximum?

  3. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The area function is an inverted parabola. Its maximum value occurs at the axis of symmetry.

  4. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Find the vertex of the parabola. The y coordinate of the vertex is the answer you want.

  5. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Put the equation into this form: A = ax^2 +bx

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

    so would it be a=-2x^2+600x?

  7. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    What is the value of "a"

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

    i don't get it :/

  9. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1437273456010:dw|

  10. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    What is the value of a? of b?

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh -2 and 600

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it 300?

  13. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Now that is important because the x coordinate of the vertex is "the opposite of b" divided by 2a. Find the x coordinate of the vertex.

  14. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    I posted that wrong. Try again.

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    150?

  16. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    yes

  17. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Now go back to the equation A = -2x^2+600x and replace x with 150.

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i got 180000

  19. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    \[A=-2(150)^2+600(150)\] \[A=-2(22,500)+90,000\]

  20. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    \[A=-45,000+90,000=45,000\]

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh oops so is the maximum area 45000?

  22. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    yes

  23. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay thank you so much :)

  24. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    And the dimensions are 150 by 300

  25. Mertsj
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    yw

  26. 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.