
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
Given pentagon $ABCDE$ is similar to pentagon ${A'}{B'}{C'}{D'}{E'}$, and the similarity ratio between pentagon $ABCDE$ and pentagon ${A'}{B'}{C'}{D'}{E'}$ is $3:4$. If the perimeter of pentagon $ABCDE$ is $6$, then the perimeter of pentagon ${A'}{B'}{C'}{D'}{E'}$ is ______.

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