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dmqrdh18

  • 2 years ago

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

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  1. freckles
    • 2 years ago
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    Ok so what is the formula for perimeter of a rectangle?

  2. freckles
    • 2 years ago
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    |dw:1347998976956:dw|

  3. freckles
    • 2 years ago
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    Or give me the equation for the perimeter of that rectangle.

  4. dmqrdh18
    • 2 years ago
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    P= 2L+2W

  5. dmqrdh18
    • 2 years ago
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    The only number I have to work with is the perimeter of 76 inches

  6. freckles
    • 2 years ago
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    Right. So P=76

  7. freckles
    • 2 years ago
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    So we have 76=2x+2y

  8. freckles
    • 2 years ago
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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.

  9. dmqrdh18
    • 2 years ago
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    I'm not sure?

  10. freckles
    • 2 years ago
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    You know the area of a rectangle is Length * Height right?

  11. dmqrdh18
    • 2 years ago
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    Yes the length x width

  12. freckles
    • 2 years ago
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    So here my rectangle has length=y and height=x right So the area of the rectangle is?

  13. freckles
    • 2 years ago
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    Do you know the calculus way or the algebra was to maximize the area?

  14. dmqrdh18
    • 2 years ago
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    Would I take 76 divided by 4 ?

  15. freckles
    • 2 years ago
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    Can you do the shortcut way? Is that allowed?

  16. dmqrdh18
    • 2 years ago
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    Sure

  17. freckles
    • 2 years ago
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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.

  18. dmqrdh18
    • 2 years ago
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    Geometry

  19. dmqrdh18
    • 2 years ago
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    So it would be 19 for each side and times that by 2= 361

  20. freckles
    • 2 years ago
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    well you mean 19(19)=361 and yes that is correct great job! :)

  21. dmqrdh18
    • 2 years ago
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    Thanks

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