
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
Determine the number of square units enclosed by the following polygon formed by dots spaced one unit apart, horizontally and vertically.
[asy]
/* Modified polygon */
size(1inch,1inch);
pair a=(0,0), b=(20,0), c=(30,10), d=(20, 20), e=(10,10), f=(0,20);
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