Consider two rectangular sheets, Sheet $\text{M}$ and Sheet $\text{N}$ of dimensions $6\:cm \times 4\:cm$ each.
- $\text{Folding operation 1}$ : The sheet is folded into half by joining the short edges of the current shape.
- $\text{Folding operation 2}$ : The sheet is folded into half by joining the long edges of the current shape.
Folding operation $1$ is carried out on Sheet $\text{M}$ three times.
Folding operation $2$ is carried out on Sheet $\text{N}$ three times.
The ratio of perimeters of the final folded shape of Sheet $\text{N}$ to the final folded shape of Sheet $\text{M}$ is _____________.
- $13:7$
- $3:2$
- $7:5$
- $5:13$