The ratio of the areas of two squares is 16 : 1. Find the ratio between their perimeters.

4 : 1

The ratio of the areas of two squares = 16 ∶ 1

Let the side of the two squares be a and b respectively and we know that the ratio of the sides of any figure is equal to the ratio of the perimeters so,

The ratio of the areas of two squares = a² ∶ b²  =16 ∶ 1

The ratio of the perimeters of two squares =  a ∶ b = 4 ∶ 1