Looks like a longwinded problem.
Use the fact that the area of this trapezium is equal to the average length of the parallel sides - ( and ) multiplied by the height
This will give you an unknown length and you can use this to deduce some areas.
I can see a very large amount of right triangles.
Also use the fact that paralellograms have 2 pairs of equal sides with equal angles.
You will also need to use angle theorems. What can you say about angles and for example? What about and ? Start with what you know, and see what you can deduce. Show us your deductions so far if you need further help.