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Area / Length

  1. May 12, 2006 #1
    Is it meaningless to divide an area by a length?
  2. jcsd
  3. May 12, 2006 #2


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    That depends! What are you trying to do?
  4. May 12, 2006 #3
    What does it depend on?

    Im not trying to do anything but understand and remove ambiguity in my understanding.
  5. May 12, 2006 #4


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    It depends on what you are trying to do. E.g., if you know the area of a rectangle and the length of one side then dividing that area by the length of the known side has meaning - it's the width of the rectangle.
  6. May 12, 2006 #5
    Sometimes i wonder why God does not number his Jigsaw puzzles. When your missing the starting peices, the rest just keeps falling apart.

    Thx for the reply.
  7. May 12, 2006 #6


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    Area of a chess board: 64 square inches.
    Length of the chess board: 8 inches.
    What is its width?
  8. May 12, 2006 #7
    It would also be meaningful if you were trying to maximize the ratio of the area contained within a curve to the lenght of the curve.

  9. May 12, 2006 #8
    i think spongebob hit it pretty close to answering the original question. There is a comparitive way to use a length to area, or an area to volume ratio. For example, for a given volume, what shape has the smallest surface area???? dimensionally, area divided by volume would give a result that is meaningless to understanding the answer to this question. im sure there is a more rigorous answer to this, but i havent studied it in any detail, so i have to rely on intuitive feel...
  10. May 16, 2006 #9
    :confused: area is a length squared so to divide an area by a length would only provide you with another length
  11. May 16, 2006 #10


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    Why "only"? That's a worthwhile result!:rofl:
  12. May 16, 2006 #11


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    What does that even mean?
  13. May 16, 2006 #12
    If this is one of those "but what does it all MEAN??" questions, perhaps it should be on the philosophy board. Richard Feynman refrained from talking metaphysics, so i reckon trackstar gave a decent answer if your question was physical.
  14. May 16, 2006 #13
    a very good idea on his part :smile:

    "Why "only"? That's a worthwhile result!" cuz i think he might be talking about more than just numbers like it says above
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