
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 the diagram, \(ABCD\) is a rectangle with points \(P\) and \(Q\) on \(AD\) such that \(AB = AP = PQ = QD\). Also, point \(R\) is on \(DC\) with \(DR = RC\). If \(BC = 24\), what is the area of \(\triangle PQR\)?

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