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MathNet 2022-part-04 — 197 problems (EN–VI) Question 164

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 164

Consider the lattice in the plane, from which we may cut rectangles, but only by making cuts along the lines of the lattice. Prove that for any integer $m \gt 12$ one may cut a rectangle of area greater than $m$ such, that from that rectangle one can't cut a rectangle of area $m$.