
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 is divided into four smaller rectangles by drawing two lines, one parallel to the length and another parallel to the width. The areas of three of these rectangles are 18, 27, and 12. Calculate the area of the fourth rectangle.

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