
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
In a rectangular exhibition space, a painted area (the shaded region) is left on the floor inside a protective border. The total outer dimensions of the border are 100 cm by 150 cm. The width of the border on three sides is 15 cm, but on one of the longer sides, it is 20 cm due to a doorway. Calculate the area of the painted area.

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