
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 positioned on a board placed $1$ unit apart both horizontally and vertically. A rubber band is stretched over 4 pegs, creating a quadrilateral. The pegs' positions form the vertices of the quadrilateral at coordinates: (0,2), (3,0), (5,2), and (2,3). Calculate the area of this quadrilateral.
A) 6.5
B) 7
C) 7.5
D) 8

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