
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
According to the standards of the International Federation of Crabbing, the field for crabbing consists of two sections: one of which is square, and the other has the same width but a length from 25 to 30 meters inclusive. All dimensions must be whole numbers, and the total area of the field must be between 250 and 300 square meters (inclusive). Find the largest and smallest possible dimensions of the square section.

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