Answer:
The ratio of the perimeters is 3:1
Step-by-step explanation:
Given: The ratio of the sides of two squares is 3:1
To find: The ratio of their perimeters
Solution: Let the lengths of the sides be represented as 3:1 = 3x: x
Perimeter of a square = 4(side)
Using this formula,
Perimeter of square 1 = 4 × 3x = 12x
Perimeter of square 2 = 4 × x = 4x
The ratio of the perimeters of square 1 and square 2 is = 12x: 4x
= 3: 1