
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
Consider a grid consisting of 4 by 13 unit squares. Compute the area of the shaded region in the following diagram, knowing that the unshaded region forms a right-angled triangle with its base along the entire bottom of the grid and height reaching up to the third row.
[No image necessary; assume uniform grid and the described unshaded triangle.]

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