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areas of a hexagon with all angles equal and sides 1,2,3,4,5,6

Source: III May Olympiad (Olimpiada de Mayo) 1997 L2 P5

September 17, 2022
geometryhexagonareas

Problem Statement

What are the possible areas of a hexagon with all angles equal and sides 1,2,3,4,51, 2, 3, 4, 5, and 66, in some order?