GATE EC 2024 Set 1 Q10 — General Aptitude

​​​Two identical sheets $\text{A}$ and $\text{B}$, of dimensions $24 \mathrm{~cm} \times 16 \mathrm{~cm}$, can be folded into half using two distinct operations, $\text{FO1}$ or $\text{FO2}$.

In $\text{FO1}$, the axis of folding remains parallel to the initial long edge, and in $\text{FO2}$, the axis of folding remains parallel to the initial short edge.

If sheet $\text{A}$ is folded twice using $\text{FO1}$, and sheet $\text{B}$ is folded twice using $\text{FO2}$, the ratio of the perimeters of the final shapes of $\text{A}$ and $\text{B}$ is