
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 placed one unit apart, both horizontally and vertically. Calculate the number of square units enclosed by the polygon formed by connecting the dots in the following sequence:
[asy]
size(1inch,1inch);
pair a=(0,0), b=(20,0), c=(20,20), d=(0,20);
pair e=(10,0), f=(20,10), g=(10,20), h=(0,10);
dot(a);
dot(b);
dot(c);
dot(d);
dot(e);
dot(f);
dot(g);
dot(h);
draw(a--e--f--c--g--d--h--a);
[/asy]

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