
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 a regular square pyramid with the side length of the base square being 4 cm, and the angle between the height and the slant height is 35°, then the slant height is \_\_\_\_\_\_\_\_\_; the lateral area is \_\_\_\_\_\_\_\_\_; the total surface area is \_\_\_\_\_\_\_\_\_. (Unit: Accurate to 0.01)

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