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DE-BUNDESWETTBEWERB 2013 Problem 6

  • Round 2

A parallelogram of paper with sides 2525 and 1010 is given. The distance between the longer sides is 66 . The paper should be cut into exactly two parts in such a way that one can stick both the pieces together and fold it in a suitable manner to form a cube of suitable edge length without any further cuts and overlaps. Show that it is really possible and describe such a fragmentation.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2013 official paper, page 1.

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