Thank you so much for your answer!! I just couldn't work it out for some reason and you doing it helped me a lot!
Wait so I simplified it and I got (rounded to the nearest hundred) sin(θ+β)=−0.99
The Formula for the area of a trapezoid is A=a+b2h so plugging in the corresponding numbers, the area of the trapezoid is 81
Ok so it's exact/simplified form is 180√3