
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
Find the number of square units in the area of the shaded region described below:
A square has vertices at (0,0), (40,0), (40,40), and (0,40). Within this square, there's an irregular hexagon formed by points (0,0), (15,0), (40,35), (40,40), (30,40), and (0,25). Calculate the area of this hexagon.

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