
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
As shown in the diagram, points \(E\), \(F\), \(G\), and \(H\) are located on the four sides of the square \(ABCD\) as the trisection points closer to \(B\), \(C\), \(D\), and \(A\) respectively. If the side length of the square is 6, what is the area of the shaded region?

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