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Directrix

  • 4 years ago

What is the greatest difference in the perimeters of two rectangles whose sides have integral lengths and whose areas are both 25?

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  1. dumbcow
    • 4 years ago
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    smallest rectangle would be a square, largest would be 1X25 --> 52 -20 = 32

  2. Directrix
    • 4 years ago
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    Correct! (would prefer a more cogent solution but that's okay :))

  3. Directrix
    • 4 years ago
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    Here come another test for your mathematical mettle.

  4. dumbcow
    • 4 years ago
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    wasn't sure if it was needed here

  5. Directrix
    • 4 years ago
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    It wasn't but others may look and want to know how to solve such problems. It's your call.

  6. dumbcow
    • 4 years ago
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    i'll just say that a square of some given area always minimizes the perimeter

  7. anonymous
    • 4 years ago
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    may be if the product is of the two variables is constant, the sum of the variables will be minimum when they are equal?

  8. Directrix
    • 4 years ago
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    Yes, or as close together as possible.

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