
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 carpenter has a board that is 120 cm long, with one end having a width of 6 cm and the other end having a width of 12 cm. At what distance from point $B$ should a cut $A$ be made to divide the board into two pieces of equal area?

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