
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 2012, the green area in Baixi Town was 57.5 hectares. The green area has been increasing in recent years, reaching 82.8 hectares in 2014.<br/>$(1)$ Find the average annual growth rate of the green area in the town from 2012 to 2014;<br/>$(2)$ If the annual growth rate remains the same, can the green area of the town reach 100 hectares in 2015?

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