
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 $WXYZ$, $WZ=7$ and $XY = 4$. Points $P$ and $Q$ are on $\overline{YZ}$ so that $YP = 2$ and $QZ=3$. Lines $WP$ and $XQ$ intersect at $R$. Find the area of $\triangle WRX$. Diagram not provided, but it's encouraged to draw one based on the description for better visualization.

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