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ASU 416 All Soviet Union MO 1985 unit rsquareas paper, rectangle area

Source:

August 5, 2019
geometryrectanglecombinatorial geometryareasunit square

Problem Statement

Given big enough sheet of cross-lined paper with the side of the squares equal to 11. We are allowed to cut it along the lines only. Prove that for every m>12m>12 we can cut out a rectangle of the greater than mm area such, that it is impossible to cut out a rectangle of mm area from it.