
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
\(PQRS\) is a square. Point \(T\) lies on \(PQ\) so that \(PT:TQ = 1:2\). Point \(U\) lies on \(SR\) so that \(SU:UR = 1:2\). The perimeter of \(PTUS\) is \(40 \text{ cm}\). What is the area of \(PTUS\)?
A) \(40 \text{ cm}^2\)  
B) \(45 \text{ cm}^2\)  
C) \(48 \text{ cm}^2\)  
D) \(60 \text{ cm}^2\)  
E) \(75 \text{ cm}^2\)

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