Shaded Area in a Trapezoid with Equal Segments

6/10plane geometryTriangle Geometry

Problem

figure

In trapezoid ABCDABCD (with ADBCAD \parallel BC), points EE and FF lie on leg ABAB with AE=BFAE = BF. Segments CECE and DFDF intersect at OO, and segments DEDE and CFCF are also drawn. The area of trapezoid ABCDABCD is 2525 and the area of OCD\triangle OCD is 88. Find the total area of the shaded region, consisting of ODE\triangle ODE and OCF\triangle OCF.

Answer

Solution

Difficulty6/10
Topicsplane geometry, Triangle Geometry

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