
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
Agronomist Bilbo noticed that if the length of his rectangular field were increased by 20 meters, then the perimeter of the field would be twice as much. However, if the width of the field were twice as much, then the perimeter of the field would be 18 meters more. What is the area of the field?

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