
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
An equilateral triangle $XYZ$ has several parallel line segments within it. Those line segments, $\overline{LM}$, $\overline{NO}$, and $\overline{PQ}$, are parallel to $\overline{YZ}$. Given that $XL = LN = NP = PY$, what is the ratio of the area of trapezoid $PQYZ$ to the area of triangle $XYZ$?

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