Triangles in trianglesGeometry 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 \(XYZ\).