Triangles in triangles

Geometry Level 4

Suppose there is an equilateral triangle with an area of 2016 square units. \(AB, BC, CA\) was divided by the points \(D, E, F\) respectively such that \(AD:DB=BE:EC=CF:FA=1:2\). The intersection of \(AE, BF\) and \(CD \)forms a triangle \(XYZ\). Find the area of triangle \(XYZ\).

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