
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 area of \(\triangle PQS\) in the trapezoid \(PQRS\), where \(RS\) is twice the length of \(PQ\), is equal to what fraction of the total area of the trapezoid?

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