
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 rectangular strip of length 16 was cut into two strips of lengths 9 and 7. These two strips were placed on a table as shown in the diagram.

It is known that the area of the part of the table covered by only the left strip is 27, and the area of the part of the table covered by only the right strip is 18. Find the area of the part of the table covered by both strips.

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