
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 square $XYZW$ with area $324$, point $P$ lies on side $\overline{XW}$. Points $Q$ and $R$ are the midpoints of $\overline{XP}$ and $\overline{ZP}$, respectively. Given that quadrilateral $WPRQ$ has area $54$, calculate the area of triangle $RZY$.

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