If triangle ABC and PQR are similar, PQ = 10.4 cm, AB = 6.5 cm and perimeter of triangle ABC = 60 cm, then the perimeter of triangle PQR is :

1. 120 cm

2. 96 cm

3. 108 cm

4. 72 cm

We know that,

The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding side lengths.

$\therefore \dfrac{\text{Perimeter of △PQR}}{\text{Perimeter of △ABC}} = \dfrac{PQ}{AB} \\[1em] \Rightarrow \dfrac{\text{Perimeter of △PQR}}{60} = \dfrac{10.4}{6.5} \\[1em] \Rightarrow \text{Perimeter of △PQR} = \dfrac{10.4}{6.5} \times 60 \\[1em] \Rightarrow \text{Perimeter of △PQR} = \dfrac{624}{6.5} \\[1em] \Rightarrow \text{Perimeter of △PQR} = 96 \text{ cm}.$

Hence, Option 2 is the correct option.