
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
In the diagram provided, you have a rectangle grid created by lines that are perpendicular to their adjacent lines. There are 36 lines forming the outer boundary of the grid with all lines being congruent. The perimeter of the grid is 72. Find the area enclosed by the grid.

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