
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 sheet of paper has a side length of 16 units. From each corner of the square, an isosceles right triangle is removed to form a rectangle. The resulting setup creates segments $r$ and $s$ such that one dimension of the rectangle is $r+s$ and the other is $|r-s|$. Calculate the combined area of the four removed triangles.

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