
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 a square $ABCD$, points $P$ and $Q$ are on $\overline{AD}$ and $\overline{AB}$, respectively. Segments $\overline{BP}$ and $\overline{CQ}$ intersect perpendicularly at point $R$ such that $BR = 5$ and $PR = 9$. Find the area of the square.
A) 196
B) 185
C) 170
D) 158

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