Correct Answer - Option 3 : 4 : 1
Given:
The ratio of the areas of two squares = 16 ∶ 1
Formula used:
Area of square = (Side of the square)2
Perimeter of square = 4 × (Side of the square)
Calculations:
Let the side of the two squares be a and b respectively
The ratio of the areas of two squares
⇒ a2 ∶ b2 =16 ∶ 1
⇒ a ∶ b = 4 ∶ 1
The ratio of the perimeter of two squares
⇒ 4a ∶ 4b = (4 × 4) ∶ (4 × 1)
⇒ 16 ∶ 4
⇒ 4 ∶ 1
∴ The ratio of the perimeter of two squares is 4 ∶ 1