Question 194
We start with a square with side length $1$. During the first minute, small squares with side length $\frac{1}{3}$ grow on the middle of the vertical sides. During the next minute, on the middle of each vertical line segment in the new figure, a new small square grows, whose sides have length $\frac{1}{3}$ of these line segments. Below you can see the situation after $0$, $1$, and $2$ minutes.
This process continues like this. Each minute, on the middle of each vertical line segment a new square grows, whose sides are $\frac{1}{3}$ of the length of that line segment. After one hour this process of new squares growing on the figure has happened $60$ times.
What is the circumference of the figure after one hour?
This process continues like this. Each minute, on the middle of each vertical line segment a new square grows, whose sides are $\frac{1}{3}$ of the length of that line segment. After one hour this process of new squares growing on the figure has happened $60$ times.
What is the circumference of the figure after one hour?