
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
Calculate the number of square units in the area of the shaded region within a larger square with vertices at (0,0), (40,0), (40,40), and (0,40). The shaded region is formed by the polygon with vertices at (0,0), (20,0), (40,30), (40,40), (10,40), and (0,10). Calculate the area of the shaded region.

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