
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
A configuration of six unit squares is arranged in a 2 by 3 grid, placed in the coordinate plane with the lower left corner at the origin. A line extending from \((c,0)\) to \((4,2)\) is set to divide the entire region into two regions of equal area. What is the value of \(c\)?
A) \(0\)
B) \(1\)
C) \(2\)
D) \(3\)
E) \(4\)

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