
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
The sides \(a\) and \(b\) of a rectangle change according to the laws \(a = (2t + 1)\) cm and \(b = (3t + 2)\) cm. At what rate is its area \(S\) changing at the moment \(t = 4\) seconds?

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