Question

The first iteration of a fractal is shown. If the area of the original square is 6, what is the area of the figure in the 1st iteration? (Round your answer to
the nearest hundredth.)

http://media.education2020.com/EVresources/647-14-06-00-00_files/i0040000.jpg

Answer 1

Divide the area into 9 equal parts.

\[\frac{ 6 }{ 9 }=\frac{ 2 }{ 3 }\]

Each square in the first iteration has an area of 2/3.

There are a total of five of these squares so the total area would be

\[\frac{ 2 }{ 3 }*5=\frac{ 10 }{ 3 }\]

Answer 2

3.33 rounded to the nearest hundredth

Answer 3

thank you! could you help me with one more please? @rim182946

Answer 4

yes

Answer 5

The first iteration of a fractal is shown. If the perimeter of the original square is 8, what is the perimeter of the figure in the 1st iteration? (Round your answer to the nearest hundredth.)

its with the same picture. everytime i try to do it i never get the right answer @rim182946

Answer 6

The perimeter of the first square is 8 so each side has a length of 2.

Now in the first iteration we divide the sides by 3 so each of the smaller squares in the first have a length of 2/3.

Each of the smaller squares would then have a perimeter of \[\frac{ 2 }{ 3 }*4=\frac{ 8 }{ 3 }\]

You have 5 of these squares so the total perimeter is \[\frac{ 8 }{ 3 }*5=\frac{ 40 }{ 3 }\approx13.33\]

Answer 7

ohhhhh i was doing it totally wrong. thank you so much! @rim182946

Answer 8

You're welcome