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

Answer Link

andromache andromache · Answer 2 · 2022-03-04T06:24:40-05:00

The fraction of the area that remains should be \(\frac{3}{4}\)

Calculation of the fraction:

Since 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.

Now the removed area should be

\(= 64\times ( 1/4)\)

= 16

So, remaining area = 64 - 16 = 48

Now

fraction of the remaining area \(= 48 / 64 = 3/4\)

Therefore, The fraction of the area that remains should be \(\frac{3}{4}\)

Learn more about an area here: https://brainly.com/question/24364874