Triangles in triangles
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 \(XYZ\).