Area of a scalene triangle: ACT Math Practice Question

Try this ACT math practice question on finding the area of a triangle.

In the figure above, the length of side $AB$ of triangle $ABC$ is $3$, and $\angle A = \angle C= 30^{\circ}$. What is the area of the triangle $ABC$?

1. $\quad \dfrac{9\sqrt{3}}{8}$
2. $\quad \dfrac{9}{4}$
3. $\quad \dfrac{9\sqrt{3}}{4}$
4. $\quad \dfrac{9}{2}$
5. $\quad \dfrac{27\sqrt{3}}{8}$

Choice C