
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 rectangle has positive integer side lengths and an area of 24. Express the perimeter of the rectangle in terms of its side lengths, and identify the perimeter values that the rectangle cannot have.

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