
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, both horizontally and vertically. What is the number of square units enclosed by the polygon which connects the dots as follows:
[asy]
/* Custom Modified */
size(1inch,1inch);
pair a=(0,0), b=(20,0), c=(20,20), d=(10, 20), e=(10,10), f=(0,10);
dot(a);
dot(b);
dot(c);
dot(d);
dot(e);
dot(f);
draw(a--b--c--d--e--f--a);
[/asy]

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