
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
Two squares are placed adjacent to one another where a 4-inch by 4-inch square adjoins a 12-inch by 12-inch square. Determine the area of the shaded region formed by the overlap of the diagonal from the larger square to the bottom right corner of the smaller square. [Diagram not shown but imagine similarly]

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