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) \(sin(\theta+ \beta)=-0.99\)

The Formula for the area of a trapezoid is \(A= \frac{a+b}{2}h\) so plugging in the corresponding numbers, the area of the trapezoid is 81

Ok so it's exact/simplified form is \(180 \sqrt{3}\)