
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
Square \(PQRS\) has an area of 144. Point \(T\) lies on side \(\overline{RS}\). Points \(U\) and \(V\) are the midpoints of \(\overline{PT}\) and \(\overline{QT}\), respectively. Given that quadrilateral \(RUTV\) has area 20, what is the area of triangle \(VQS\)?

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