The Sierpinski Triangle is a type of progression where an equilateral triangle has 1/4 of its area removed to create a new shape. A series of these triangles is shown below, starting with an area of 64. If we remove 1/4 of the area what fraction of the area remains?

The Sierpinski Triangle is a type of progression where an equilateral triangle has 1/4 of its area removed to create a new shape.

starting with an area of 64. If we remove 1/4 of the area

so the removed area = 64 * (1/4) = 16

remaining area = 64 - 16 = 48

fraction of the remaining area = 48 / 64 = 3/4

or another way 1 - 1/4 = 3/4