
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 rectangle, if one of its sides is increased by 5 cm and the length of another side is doubled, its area becomes three times the area of the original rectangle. If one of its sides is decreased by 10 cm, it becomes a square. Find the area of this rectangle in square centimeters.

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