two similar figures and their area

Question

The perimeters of two similar figures are 8 in. and 48 in. What is the ratio of the of the two figures?

Answer 1

let P2 = 48, P1 = 8, P2/P1 = 48/8 =6

assume a rectangle, 4 sided polygon

S2 is 6x8

S1 is 2x4 then A2/A1 = 48/8 = 6 = P2/P1

ratio of the figures = 6/1 = 6:1