
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 a perimeter of 40 units, and its area is required to be a prime number. What are the possible dimensions of the rectangle that satisfy these conditions, and what is the maximum prime number area that can be achieved?

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