
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
Given a large rectangle is partitioned into four rectangles by two segments parallel to its sides, with the areas of three of the resulting rectangles known, determine the area of the fourth rectangle.

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