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IMO 1959–1966 - Longlisted Problems (individual years unknown) Question 22

IMO Shortlist · IMO 1959–1966 - Longlisted Problems (individual years unknown)

Question 22

(BUL) Assume that two parallelograms $P,P'$ of equal areas have sides $a,b$ and $a',b'$ respectively such that $a'\le a\le b\le b'$ and a segment of length $b'$ can be placed inside $P$. Prove that $P$ and $P'$ can be partitioned into four pairwise congruent parts.