
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
Three congruent circles with centers $P$, $Q$, and $R$ are tangent to the sides of rectangle $WXYZ$. The circle centered at $Q$ has a diameter of $6$, and passes through points $P$ and $R$. What is the area of the rectangle $WXYZ$?
A) $36$
B) $48$
C) $72$
D) $144$
E) $288$

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