
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
What is the number of square units in the area of the irregular hexagon shown below?

[asy]
unitsize(0.5cm);
defaultpen(linewidth(0.7)+fontsize(10));
dotfactor = 4;

int i,j;
for(i=0;i<=5;++i)
{
    for(j=-4;j<=4;++j)
    {
        dot((i,j));
    }
}

draw((0,0)--(1,3)--(4,4)--(5,0)--(4,-4)--(1,-3)--cycle,linewidth(2));

label("2 units", (0.5,1.5), W);
label("3 units", (2.5,3.5), N);
label("1 unit", (4.5,0), E);
label("2 units", (2.5,-3.5), S);
[/asy]

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