
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
Four circles of radius \(5 \mathrm{~cm}\) touch the sides of a square and each other. On each side of the square, an equilateral triangle is drawn to form a four-pointed star. What is the perimeter of the star?
A) \(40 \mathrm{~cm}\)
B) \(80 \mathrm{~cm}\)
C) \(120 \mathrm{~cm}\)
D) \(160 \mathrm{~cm}\)
E) \(200 \mathrm{~cm}\)

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