
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 with a distance of $1$ unit apart both horizontally and vertically. A rubber band is stretched over pegs to form a quadrilateral as shown in the diagram, which is now a trapezoid with vertices at pegs located at $(0,0)$, $(1,2)$, $(3,2)$, and $(4,0)$. Calculate the area of this trapezoid in square units.
A) 4
B) 4.5
C) 5
D) 5.5
E) 6

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