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Riddle time

Name: Anonymous 2011-02-01 11:30

Remember that Tetris game, with that delightful music copied from the Borat television show? Well in Tetris there are 7 different types of shapes: all the possible ways of combining four blocks (up to rotation, but not reflection). Is it possible to put all these 7 shapes together to form a rectangle? You must use each shape once and only once. Justify your answer, but make it as simple as possible.

Name: Anonymous 2011-02-04 12:42

Does it have to be an outline of a rectangle or have blank spaces, or must it be a solid rectangle?

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