Question

A square is divided into nine smaller squares of equal area. The center square is then divided into nine smaller squares of equal area and the pattern continues indefinitely. What fractional part of the figure is shaded?

Answer 1

Answer:

1/2 of the figure is shared

Step-by-step explanation:

From the attachment, 4 out of the 8 squares are shaded

The center square which makes it the 9th is subdivided into 9 squares again.

The pattern of division continues indefinitely.

In every subdivision, 4 squares are shaded leaving the other 4 squares white while the 9th(center square) forms another subdivision.

Therefore, it can be concluded that 1/2 of the figure is shaded.