
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 has sides of length 12 units. From this, an equilateral triangle with sides 6 units long is cut off from the top, resulting in the formation of an isosceles trapezoid at the base. Determine the ratio of the area of the smaller triangle to the area of the isosceles trapezoid. Express your answer as a common fraction.

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