
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
To implement the State Council's real estate regulation policy and ensure "housing for all," a city accelerated the construction of affordable housing. In 2011, the city government invested 200 million yuan to build 80,000 square meters of affordable housing. It is expected that by the end of 2012, a total investment of 950 million yuan will have been made over three years to construct affordable housing. Assuming the annual investment growth rate remains the same during these two years.  
(1) Calculate the annual growth rate of the city government's investment;  
(2) Assuming the construction cost remains unchanged during these two years, calculate the total square meters of affordable housing built by the end of 2012.

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