
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
Triangle $PQR$ is equilateral. Lines $\overline{ST}$, $\overline{UV}$, and $\overline{WX}$ are parallel to $\overline{QR}$, and $PS = SU = UW = WX$. What is the ratio of the area of trapezoid $WXQR$ to the area of triangle $PQR$?

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