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 $XYZ$ .