
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
We call a rectangle with a ratio of width to length of $\frac{\sqrt{5}-1}{2}$ a golden rectangle. The golden rectangle gives us a sense of harmony and symmetry, and many famous buildings around the world use the design of the golden rectangle to achieve the best visual effect. Given that quadrilateral $ABCD$ is a golden rectangle and the length of side $AB$ is $\sqrt{5}-1$, find the perimeter of this rectangle.

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