
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Rhombus $PQRS$ has sides of length $4$ and $\angle Q = 150^\circ$. Region $T$ is defined as the area inside the rhombus that is closer to vertex $Q$ than to any of the other vertices $P$, $R$, or $S$. Calculate the area of region $T$.
A) $\frac{2\sqrt{3}}{3}$
B) $\frac{4\sqrt{3}}{3}$
C) $\frac{6\sqrt{3}}{3}$
D) $\frac{8\sqrt{3}}{9}$
E) $\frac{10\sqrt{3}}{3}$

Present the answer in LaTex format: \boxed{Your answer}
user