Answer:
16
Step-by-step explanation:
To start off this problem, we are given that the line AB is equal to the line CD. In addition to that, we are given that the line EF equally intersects line AB and line CD. This provides us proof that angle AGH is equivalent to angle DHG. From this information, we can solve this problem relatively easily.
Lets work with this equation:

Next, divide 80 by 5.


This means that x is equal to 16.
sinR = 
noting that the sin ratio = 
opposite to ∠P is QR and hypotenuse is PQ ( opposite right angle )
Times the bottom equation by -4 to cancel out the x’s.
Add the equations.
Solve for y.
Plug in y to find x.
20 x 10 = 200
45 - 10 = 35 - 8 = 27
8 x 8 = 64
20 - 8 = 22
22 x 45 = 990
The area of the shape is 990 square feet.
Hope I could help!