A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

A rectangular plot of land will be bounded on one side by a river. On the other three sides, it will be bounded by a fence. With 500m of fence to use, what is the largest area you can enclose, and what are its dimensions? (I'm having trouble with this one)

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

    I do know the more closely it becomes a square the larger the area you have. Let me think on this and get back to you shortly.

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

    A = Length * width A = lw 500 = 2w + l solving this for l you get l = 500 - 2w substitute that back into the A=lw A = (500 - 2w)w distribute A = 500w - 2w^2 The maximum can be found at the vertex which you find the w value by -b/2a = -500/-2(2) = w = 125 so I think the width = 125 and the length would be 250

  3. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2x + y = 500 y = 500-2x area = xy A = x(500-2x)

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

    I would find the maximum by completing the square, but I'm a badass.

  5. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A = 500x -2x^2 dA = 500 -4x x = 500/4 = 250/2 = 125

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

    Thank you guys for your help...You are all awesome =D

  7. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y = 500-2x y = 500 - 2(125) y = 500 - 250 y = 250

  8. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    blext was right...and first :)

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

    LOL

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

    But you did it the "cool" way

  11. 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.