The diagonals of two squares are in the ratio 5 : 7. Find the ratio of

1.	The diagonals of two squares are in the ratio 5 : 7. Find the ratio of their areas.1. 20 : 812. 25 : 493. 16 : 254. 81 : 165. 9 : 25
Answer» Correct Answer - Option 2 : 25 : 49 Given: The ratio of diagonals of squares is 5 : 7. Formula Used: Area of triangle = ½ × (Diagonal)² Calculations: Let the diagonals of the square be 5x and 7x respectively. Area of Square₁ = ½ × (5x)² Area of Square₂= ½ × (7x)² The ratio of their areas = ½ × (5x)² : ½ × (7x)² ⇒ 25 : 49 ∴ The ratio of areas of squares is 25 : 49.

The diagonals of two squares are in the ratio 5 : 7. Find the ratio of their areas.1. 20 : 812. 25 : 493. 16 : 254. 81 : 165. 9 : 25

Answer» Correct Answer - Option 2 : 25 : 49

Given:

The ratio of diagonals of squares is 5 : 7.

Formula Used:

Area of triangle = ½ × (Diagonal)²

Calculations:

Let the diagonals of the square be 5x and 7x respectively.

Area of Square₁ = ½ × (5x)²

Area of Square₂= ½ × (7x)²

The ratio of their areas = ½ × (5x)² : ½ × (7x)²

⇒ 25 : 49

∴ The ratio of areas of squares is 25 : 49.

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The diagonals of two squares are in the ratio 5 : 7. Find the ratio of their areas.1. 20 : 812. 25 : 493. 16 : 254. 81 : 165. 9 : 25

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