
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
Two boards, one three inches wide and the other five inches wide, are nailed together to form an X. The angle at which they cross is 45 degrees. After painting, the boards are separated. What is the area of the unpainted region on the three-inch board?

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