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How to prove that the only figure of which 3 copies can be used to tile a rectangle is a rectangle?

Is it possible to cut a rectangle into 5 equal (modulo rotations/reflections) non-rectangular pieces, which type of pieces?

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    By "rectangle", are you insisting non-square? Is the answer known in the case of a square?2011-07-08

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There is a lot of information about this problem at https://mathoverflow.net/questions/11753

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    They probably did it just to annoy you. But seriously, forks... (+.8) for the link and (+.2) to offset the down-vote2011-07-08