
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
The base of a triangular piece of paper $ABC$ is $18\text{ cm}$ long. The paper is folded down over the base, creating a crease $DE$ parallel to the base. The area of the triangle formed between $DBE$ is $9\%$ of the area of triangle $ABC$. There is another fold parallel to $DE$, named $FG$, with its distance from vertex $C$ being twice the distance from $C$ to $DE$. Calculate the length of $DE$.

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