
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
One side of a rectangle is $5 \text{ cm}$, and the other side is the smallest two-digit number that is divisible by 3. In the second rectangle, one side is equal to the shorter side of the first rectangle. The area of one rectangle exceeds the area of the other by $25 \text{ cm}^2$. Determine the unknown side of the second rectangle.

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