
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 configuration where a 4-inch by 4-inch square adjoins a 12-inch by 12-inch square. A line extends from the top left corner of the larger square to the bottom right corner of the smaller square. Calculate the area of the shaded triangle formed by this line and the bottom edge of the smaller square. Express your answer in square inches.

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