
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 \(AB\) of a triangular piece of paper \(ABC\) is 16 cm long. The paper is folded down over the base, with the crease \(DE\) parallel to the base of the paper. The area of the triangle that projects below the base (shaded region) is 16% of the area of \(\triangle ABC\). What is the length of \(DE\), in cm?

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