Answer:
52 square units
Step-by-step explanation:
Drop a perpendicular from the top left vertex to the bottom base creating a right triangle. You have a 30-60-90 right triangle with the ratio of the lengths of the sides being 1 : sqrt(3) : 2
Then, the height of the trapezoid is the triangle's opposite leg to the 60-deg angle.
The triangle's adjacent leg to the 60-deg angle is half the hypotenuse, or 3 units.
The height is sqrt(3) times the adjacent leg.
The base of the trapezoid has length 3 + 7 + 3 = 13
A = (b1 + b2)h/2
A = (13 + 7)(3sqrt(3))/2
A = 51.96
Answer: 52 square units
