The per capita living area of a city is 14.6 square meters, and it is planned to reach 18 square meters in two years. Considering the change of population, if the residential area of citizens increases year by year at the same growth rate in two years, what is the average growth rate of per capita residential area in a city in these two years?

Let the average annual growth rate be x.

then what 14.6*x is the area added in the first year.

14.6+ 14.6*x is the total living area per capita in the first year, which is also 14.6*( 1+x).

Then: (14.6*( 1+x))*x is the area increased in the second year.

So:14.6 * (1+x)+(14.6 * (1+x)) * x is the total per capita living area in the second year, which is equal to: 18 square meters.

The extraction 14.6*( 1+x) becomes:14.6 * (1+x) * (1+x) is equal to:18m2.

So the equation is:14.6 * (1+x) 2 =18.

Solution: x=0. 1 1.

A: In the past two years, the average growth rate of per capita living area in a city has been 1 1%.