
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 designing a new logo, Maria arranges a square and fills it with four identical equilateral triangles, each having a vertex at the square's center and each base tangent to a side of the square. The side length of the square is 40 cm. Calculate the area that remains shaded after the triangles are placed inside the square.

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