
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 5 inches wide and the other 7 inches wide, are nailed together to form an X. They cross at an angle of 45 degrees. After painting and separating the boards, calculate the area of the unpainted region on the 7-inch board.

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