# 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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