
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
In the diagram, a 4-inch by 4-inch square overlaps a 12-inch by 12-inch square. The bottom right vertex of the smaller square is located at the midpoint of the top side of the larger square. Determine the area of the shaded region which is outside the overlap of the two squares. Provide your answer in square inches.

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