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2011 JHMT Geometry #5

Source:

September 5, 2023
geometry

Problem Statement

Let ABCDABCD be a unit square. Point EE is on BCBC, point FF is on DCDC, △AEF\vartriangle AEF is equilateral, and GHIJGHIJ is a square in △AEF\vartriangle AEF such that GHGH is on EFEF. Compute the area of square GHIJGHIJ.
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