Respuesta :

When the figures are similar, we have by definition:
 For the area:
 A1 = (k ^ 2) * A2
 For the perimeter
 P1 = k * P2
 Note: The factor k is the same in both cases
 Where,
 k = growth factor (k> 1) or reduction (k <1)
 Substituting values we have:
 12 = (k ^ 2) * 63
 Let's clear k:
 k = root (112/63)
 k = 4/3
 Answer: 
 The ratio (larger to smaller) of their perimeters is:
 k = 4/3
 The answer is  k = 4/3You have to consider the definition of "k"
 k = growth factor (k> 1) or reduction (k <1)

Area1= (k ^ 2) * Area2Perimeter1 = k * Perimeter2
Substitute: 12 = (k ^ 2) * 63 k = sqaure root (112/63) k = 4/3