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area computational with hexagon, parallelogram and equilateral

Source: Ukrainian TST 1999 p11 - Belarus TST 1998 2.3

February 13, 2020
geometryparallelogramhexagonareaEquilateral

Problem Statement

Let ABCDEFABCDEF be a convex hexagon such that BCEFBCEF is a parallelogram and ABFABF an equilateral triangle. Given that BC=1,AD=3,CD+DE=2BC = 1, AD = 3, CD+DE = 2, compute the area of ABCDEFABCDEF
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