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computational geometry for 13yo, areas of rhombuses

Source: May Olympiad (Olimpiada de Mayo) 2017 L1

September 10, 2018
geometryrhombusareas

Problem Statement

Let ABCDABCD be a rhombus of sides AB=BC=CD=DA=13AB = BC = CD= DA = 13. On the side ABAB construct the rhombus BAFEBAFE outside ABCDABCD and such that the side AFAF is parallel to the diagonal BDBD of ABCDABCD. If the area of BAFEBAFE is equal to 6565, calculate the area of ABCDABCD.
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