
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
What is the ratio of the numerical value of the area, in square units, of an equilateral triangle of side length 10 units to the numerical value of its perimeter, in units? Express your answer as a common fraction in simplest radical form.

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