
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
In right trapezoid $PQRS$ with bases $PQ$ and $RS$ where $PQ = 2$, $RS = 6$, and height $PR = 4$, points $T$ and $U$ trisect $\overline{PQ}$, and points $V$ and $W$ trisect $\overline{RS}$. What is the area of quadrilateral $XYZA$ where $X$, $Y$, $Z$, and $A$ are the midpoints of segments $PT$, $TU$, $UV$, and $VQ$ respectively?

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