You are dealing with a triangle and a rectangle, so just find the area of both of them then add it together.
To find the height of the triangle and the other side of the rectangle you have to use Trigonometry.
To find the height of the rectangle you must do:
8cos(30)= 6.928
Then solve for the length of the triangle by doing:
8Sin(30) = 4
Now just find the area of both shapes.
1/2(4* 6.928)+6.928*9=76.2084064606