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

⇒ a^{2} ∶ b^{2 } =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**