I have not looked much but the angles will all be 120 degrees.
Use cosine rule to find distance AE
triangle AFE and triangle DBC are congruent
so AE = BD
Area of AFE can be determined.
ABDE is a parallelogram. I am pretty sure it is a rectangle but i have not looked at it enough to be sure.
If it is a rectangle then the area is easily obtained.
That is a rough outline of some of the steps you will need to use.