The image above shows a construction of fractal by joining smaller and smaller squares to each side of one single square.
We start with a square of side length 3.
In the second figure, the 4 new squares are formed with a side length of 1/3 of its previous square.
Then from the third figure and so on, the new squares can only be formed on the 3 sides of the previous squares with side length 1/3 of its previous square.
As this recursion continues indefinitely, what does the total area of the figure tend to?
