
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 square and a regular pentagon have the same perimeter of 20 inches. What is the ratio of the side length of the pentagon to the side length of the square? Express your answer as a common fraction.

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