
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
What is the total area of the shaded triangles formed in a 6x6 square grid, where shaded triangles are formed by connecting the center of the grid to each pair of adjacent vertices along the perimeter?
A) 18
B) 24
C) 32
D) 36

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