
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. Consider the polygon enclosed by traveling through these dots:
[asy]
/* Modified AMC8 1998 #6P */
size(1inch,1inch);
pair a=(0,0), b=(30,0), c=(30,30), d=(0,30);
pair e=(20,20);
dot(a);
dot(b);
dot(c);
dot(d);
dot(e);
draw(a--b--c--d--a);
draw(c--e--a);
[/asy]
What is the area of the polygon enclosed by these lines?

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