The ratio of the areas of two squares is 16 : 1. Find the ratio betwee

1.	The ratio of the areas of two squares is 16 : 1. Find the ratio between their perimeters.1. 12 : 12. 8 : 13. 4 : 14. 3 : 1
Answer» 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

The ratio of the areas of two squares is 16 : 1. Find the ratio between their perimeters.1. 12 : 12. 8 : 13. 4 : 14. 3 : 1

Answer» 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

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