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area of pentagon ABCDE, AB=BC, CD=DE, <ABC=120^o, <CDE=60^o, BD=2

Source: 2004 Argentina OMA L3 p5

June 16, 2020
geometryareapentagonequal segments

Problem Statement

The pentagon ABCDEABCDE has AB=BC,CD=DE,∠ABC=120o,∠CDE=60oAB = BC, CD = DE, \angle ABC = 120^o, \angle CDE = 60^o and BD=2BD = 2. Calculate the area of the pentagon.
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