
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
Given a $6 \times 6$ grid containing an abstract zigzag strip made up of two triangles and four trapezoids is shaded, where each triangle occupies two squares and each trapezoid occupies three squares of the grid, calculate the total shaded area.

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