Calculate the area of the LARGE triangle...then subtrat the two smaller triangles.
You can calculate the angles of ADE.....find the hypotenuse....you are given two sides
then you can calculate the angles FEB CDG etc
Example : 180 - AED - 90 = FEB to find the side lengths of those triangles and their areas......etc,,,
Or calculate the area AED and add the rectangle when you find the side lengths.....