
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
A rectangle has side lengths $2$ (length) and $1$ (width) and vertices $A, B, C$, and $D$ in that order. The rectangle is folded such that vertex $C$ meets edge $\overline{AD}$ at point $C'$, making $C'D = \frac{1}{4}$. Edge $\overline{BC}$ intersects edge $\overline{AB}$ at point $E$. Calculate the perimeter of triangle $\bigtriangleup AEC'$.

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