
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
An ellipse has an area of $M \text{ cm}^2$ and a perimeter approximation of $N \text{ cm}$ (using \( N = \pi (a + b) \) as a rough estimate for a circle-like perimeter). If \( \frac{M}{N} = 10 \), where \( a \) is the semi-major axis and \( b \) is the semi-minor axis, calculate \( a + b \).

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