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dmqrdh18 Group Title

Find the maximum area for a rectangle with the given perimeter 76 inches

  • one year ago
  • one year ago

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  1. freckles Group Title
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    Ok so what is the formula for perimeter of a rectangle?

    • one year ago
  2. freckles Group Title
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    |dw:1347998976956:dw|

    • one year ago
  3. freckles Group Title
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    Or give me the equation for the perimeter of that rectangle.

    • one year ago
  4. dmqrdh18 Group Title
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    P= 2L+2W

    • one year ago
  5. dmqrdh18 Group Title
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    The only number I have to work with is the perimeter of 76 inches

    • one year ago
  6. freckles Group Title
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    Right. So P=76

    • one year ago
  7. freckles Group Title
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    So we have 76=2x+2y

    • one year ago
  8. freckles Group Title
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    Now what is the area of the rectangle I drew. Or what is the formula for the area of a rectangle.

    • one year ago
  9. dmqrdh18 Group Title
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    I'm not sure?

    • one year ago
  10. freckles Group Title
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    You know the area of a rectangle is Length * Height right?

    • one year ago
  11. dmqrdh18 Group Title
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    Yes the length x width

    • one year ago
  12. freckles Group Title
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    So here my rectangle has length=y and height=x right So the area of the rectangle is?

    • one year ago
  13. freckles Group Title
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    Do you know the calculus way or the algebra was to maximize the area?

    • one year ago
  14. dmqrdh18 Group Title
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    Would I take 76 divided by 4 ?

    • one year ago
  15. freckles Group Title
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    Can you do the shortcut way? Is that allowed?

    • one year ago
  16. dmqrdh18 Group Title
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    Sure

    • one year ago
  17. freckles Group Title
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    Do you know why it works? Are you taking calculus or algebra? And yes if you have a=2l+2w and you want to maximize A then to find where you have maximum area you do a/4=w=l. But you haven't found the max area. You just found at what w and l you have max area. You told me area is length times width Just plug those values in for w and l and magic! you will have the answer.

    • one year ago
  18. dmqrdh18 Group Title
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    Geometry

    • one year ago
  19. dmqrdh18 Group Title
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    So it would be 19 for each side and times that by 2= 361

    • one year ago
  20. freckles Group Title
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    well you mean 19(19)=361 and yes that is correct great job! :)

    • one year ago
  21. dmqrdh18 Group Title
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    Thanks

    • one year ago
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