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pentagon has 4 triangles of same area (2010 NZOMC Camp Sel. S2)

Source:

January 4, 2021
geometryarea of a triangleequal areapentagon

Problem Statement

In a convex pentagon ABCDEABCDE the areas of the triangles ABC,ABD,ACDABC, ABD, ACD and ADEADE are all equal to the same value x. What is the area of the triangle BCEBCE?
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