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anonymous

  • 5 years ago

A rectangular field is to be subdivided in 6 equal fields. There is 8150 feet of fencing available. Find the dimensions of the field that maximizes the total area. What is the maximum area ?

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  1. anonymous
    • 5 years ago
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    are you familiar with concept of optimization?

  2. anonymous
    • 5 years ago
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    not exactly...i was trying create and parabolic function and solve...?

  3. anonymous
    • 5 years ago
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    Then you are on the right track

  4. anonymous
    • 5 years ago
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    i have no idea where i went wrong though. how would you do it?

  5. anonymous
    • 5 years ago
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    are 6 equal field square?

  6. anonymous
    • 5 years ago
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    yes

  7. anonymous
    • 5 years ago
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    good

  8. anonymous
    • 5 years ago
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    Here is how I would solve it. Since it is equal and square field, I would denote each side as x. by counting I found out that there would be 17 sides

  9. anonymous
    • 5 years ago
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    ok

  10. anonymous
    • 5 years ago
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    17x=8150 x= each side x^2=area of each field

  11. anonymous
    • 5 years ago
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    k

  12. anonymous
    • 5 years ago
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    still question?

  13. anonymous
    • 5 years ago
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    could you follow through on the next step?

  14. anonymous
    • 5 years ago
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    Okay remember that square shape always maximize the area

  15. anonymous
    • 5 years ago
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    x=479 x^2=1358

  16. anonymous
    • 5 years ago
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    ok

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spraguer (Moderator)
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