
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
A square piece of paper has an isosceles right triangle removed from each corner to create a rectangle. The side length of the square is 16 units. If the triangles removed from adjacent corners are such that the ratio of \( r \) to \( s \) (lengths of the two resulting rectangle sides formed by a single removed triangle) is 3:1, what is the combined area of the four removed triangles?

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