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Math Help - Interesting (and funny) exercise

  1. #1
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    Cool Interesting (and funny) exercise

    Imagine you are in \mathbb{R}^2 with the euclidean topology. You have a family of rectangles with the property that at least one of its side has an integer length (the other may be any real number). Prove that if we arrange those rectangles to form another bigger rectangle, it still has this property.
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  2. #2
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    I think I posted this a few months back; I'll try to search for it..
    It is indeed a nice exercise.

    EDIT: There we go..
    http://www.mathhelpforum.com/math-he...les-99826.html
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  3. #3
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    If such a family of rectangles could be thought of as a \sigma-algebra in \mathbb{R}^2 then it would be obvious, right?!
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