
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 quadrilateral \(PQRS\), the length of \(PQ\) is \(11 \mathrm{~cm}\), the length of \(QR\) is \(7 \mathrm{~cm}\), the length of \(RS\) is \(9 \mathrm{~cm}\), and the length of \(SP\) is \(3 \mathrm{~cm}\). Both \(\angle QRS\) and \(\angle SPQ\) are \(90^{\circ}\). What is the area of the quadrilateral \(PQRS\)?
A) \(30 \mathrm{~cm}^{2}\)  
B) \(48 \mathrm{~cm}^{2}\)  
C) \(50 \mathrm{~cm}^{2}\)  
D) \(52 \mathrm{~cm}^{2}\)  
E) \(60 \mathrm{~cm}^{2}\)

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