
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
Dots are spaced one unit apart, horizontally and vertically. What is the number of square units enclosed by the following polygon?
[asy]
size(2inch,2inch);
pair a=(0,0), b=(20,0), c=(40,0), d=(40,20), e=(20,20), f=(0,20), g=(0,40), h=(20,40), i=(40,40);
dot(a); dot(b); dot(c); dot(d); dot(e); dot(f); dot(g); dot(h); dot(i);
draw(a--b--d--f--h--g--a);
[/asy]

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