Given an equilateral triangle $\text{T1}$ with side $24$ cm, a second triangle $\text{T2}$ is formed by joining the midpoints of the sides of $\text{T1}$. Then a third triangle $\text{T3}$ is formed by joining the midpoints of the sides of $\text{T2}$. If this process of forming triangles is continued, the sum of the areas, in sq cm, of infinitely many such triangles $\text{T1, T2, T3}, \dots$ will be

- $164\sqrt 3$
- $188\sqrt 3$
- $248\sqrt 3$
- $192\sqrt 3$