# Fractal Squares

Algebra Level 2

The image above shows a construction of fractal by joining smaller and smaller squares to each side of one single square.

• In the second figure, the 4 new squares are formed with a side length of $$\dfrac{1}{3}$$ 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 $$\dfrac{1}{3}$$ of its previous square.