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anonymous

  • 5 years ago

I've got two equations but i cant replace anything in one for the other, how do i figure this out? A carpenter is building a rectangular room with a fixed perimeter of 356 ft. What dimensions would yield the max. area? What is the max area?

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  1. anonymous
    • 5 years ago
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    i think the maximum area is a square

  2. anonymous
    • 5 years ago
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    There are several ways of doing this, what course is this from?

  3. anonymous
    • 5 years ago
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    Algebra 2

  4. radar
    • 5 years ago
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    Assuming jimmyrep is correct then the sides would be 89 (356/4)

  5. anonymous
    • 5 years ago
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    then my area would be 7921?

  6. radar
    • 5 years ago
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    Yes (assuming jimmyrep is correct)

  7. anonymous
    • 5 years ago
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    okay thank you. im just terrible with story problems they catch me off guard

  8. radar
    • 5 years ago
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    I would wait and see what Nancy Lam has to say

  9. anonymous
    • 5 years ago
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    will do

  10. anonymous
    • 5 years ago
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    P= (L+W)2 365= (L+W)2 365/2= L+W 182.5 = L+W 182.5/2 =91.25 \[91.25^{2}=8.327?\]

  11. radar
    • 5 years ago
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    Nancy don't you mean 356?

  12. anonymous
    • 5 years ago
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    ok i was wron number, any way use 356 instate 365 my equation is right?

  13. radar
    • 5 years ago
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    I was with you until the 5th line. what is that about???

  14. radar
    • 5 years ago
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    Oh, I see you are letting L=W so it would be square. Seems like a burdensome method when you coluld just divide 356 by 4

  15. anonymous
    • 5 years ago
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    P= (L+W)2 356= (L+W)2 356/2= L+W 178 = L+W 178/2 =89 \[89^{2}=7.921\]

  16. radar
    • 5 years ago
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    It appears that Nancy Lam agrees with the 89 answer.

  17. anonymous
    • 5 years ago
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    check: P= (L+W)2 356=(89+89)2 356=178*2 356=356

  18. anonymous
    • 5 years ago
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    Thank

  19. radar
    • 5 years ago
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    You realize niki 150 that this is true, if and only if, the maximum area is a square. I hope jimmyrep is right.

  20. anonymous
    • 5 years ago
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    yeah i know. but there is no other way to figure it out so it's gotta be a square. if there was another way there isnt enough information to do so.

  21. radar
    • 5 years ago
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    Agree, good luck with your studies. Have a good weekend

  22. anonymous
    • 5 years ago
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    thanks.

  23. anonymous
    • 5 years ago
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    u r we com

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