2019 AMC 12B Problem 18

Square pyramid ABCDE has base ABCD, which measures 3 cm on a side, and altitude \overline{AE} perpendicular to the base, which measures 6 cm. Point P lies on \overline{BE}, one third of the way from B to E; point Q lies on \overline{DE}, one third of the way from D to E; and point R lies on \overline{CE}, two thirds of the way from C to E. What is the area, in square centimeters, of \triangle PQR?

\textbf{(A) } \frac{3\sqrt2}{2} \qquad\textbf{(B) } \frac{3\sqrt3}{2} \qquad\textbf{(C) } 2\sqrt2 \qquad\textbf{(D) } 2\sqrt3 \qquad\textbf{(E) } 3\sqrt2

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.