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

1/2

Explanation:

This is kind of a logic question. See, there are 4 white squares and 4 shaded squares. We exclude the center, since it is just repeating over and over. So, the fraction of shaded figure would be only the outer 8 squares. So that means that there would be ([the shaded] / [white squares]) 4/8, which is equivalent to 1/2.

hope this helps !!

Answer 2

1/2 of the figure is shared

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.