
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 rectangle $PQRS$, side $PQ$ measures $8$ units and side $QR$ measures $4$ units. Points $X$ and $Y$ are on side $RS$ such that segment $RX$ measures $2$ units and segment $SY$ measures $3$ units. Lines $PX$ and $QY$ intersect at point $Z$. Calculate the area of triangle $PZQ$.

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