Proving, Applying Laws of Sines/Cosines Practice Test

A surveyor needs to find the area of a triangular plot of land. She measures two adjacent sides as $$45$$ meters and $$60$$ meters, with an included angle of $$120°$$. Using an auxiliary line from the vertex of the $$120°$$ angle perpendicular to the opposite side, what is the area of the triangular plot?

In triangle $$PQR$$, side $$PQ = 12$$, side $$QR = 15$$, and angle $$Q = 60°$$. An auxiliary line is drawn from vertex $$P$$ perpendicular to side $$QR$$. Which expression correctly represents the area of triangle $$PQR$$ using the derived formula?