NCERT Figure it Out 1 - Q3 - Exploring Some Geometric Themes
Question: Find the area of the region remaining at the nth step in each of the shape sequences that lead to the Sierpinski fractals. Take the area of the starting square/triangle to be 1 sq. unit.
Answer: Carpet: (8/9)^n. Triangle: (3/4)^n. (Starting area 1.)
Full step-by-step NCERT solution with diagrams on Something by Zero.