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2003 National Spain Olympiad, Problem 5

Source: 2003 National Spain Olympiad

June 2, 2017
geometryhexagon

Problem Statement

How many possible areas are there in a convex hexagon with all of its angles being equal and its sides having lengths 1,2,3,4,51, 2, 3, 4, 5 and 6,6, in any order?