
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 large rectangle is divided into four rectangles by two lines, one parallel to its length and the other to its width. The areas of three of these smaller rectangles are given. Given that the total perimeter of the large rectangle is known, calculate the area of the fourth rectangle.

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