
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
The pattern on a large square tile consists of eight congruent right-angled triangles and a small square. The area of the tile is \(49 \, \text{cm}^2\) and the length of the hypotenuse \(PQ\) of one of the triangles is \(5 \, \text{cm}\). What is the area of the small square?
A) \(1 \, \text{cm}^2\)  
B) \(4 \, \text{cm}^2\)  
C) \(9 \, \text{cm}^2\)  
D) \(16 \, \text{cm}^2\)  
E) \(25 \, \text{cm}^2\)

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