MathNet 2003 — Part 01 Question 129

Suppose points $F_1$, $F_2$ are the foci of the ellipse $\frac{x^2}{9} + \frac{y^2}{4} = 1$, $P$ is a point on the ellipse, and $|PF_1| : |PF_2| = 2 : 1$. Then the area of $\triangle PF_1F_2$ is equal to ________.