
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
Pegs are placed in a board $1$ unit apart both horizontally and vertically. A rubber band is stretched over $4$ pegs, forming a new quadrilateral, with vertices at points (1, 1), (2, 3), (4, 2), and (3, 0). Calculate its area in square units.
A) $4.5$
B) $5$
C) $5.5$
D) $6$
E) $6.5$

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