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MathNet 2019-part-07 — 184 problems (EN–VI) Question 67

Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)

Question 67

The convex polygon $M$ is given. There is a square $K$, that contains $M$ inside and has the minimum possible area. Is it obligatory for at least one of the sides of a square $K$ to contain one of the sides of the polygon $M$?
(Bogdan Rublyov)