The length of the diagonals of a rhombus is 16 cm and 12 cm. What is t

1.	The length of the diagonals of a rhombus is 16 cm and 12 cm. What is the perimeter of the rhombus?1. 56 cm2. 28 cm3. 26 cm4. 40 cm
Answer» Correct Answer - Option 4 : 40 cm Given: The length of the arms of a rhombus is 16 cm and 12 cm. Concept Used: If the length of the diagonals of a rhombus are d₁ and d₂ then the sides of the rhombus is (1/2) × √(d₁² + d₂²) The perimeter of a rhombus is (4 × Length of the side of the rhombus) Calculation: Here d₁ = 16 cm and d₂ = 12 cm The length of the sides of the rhombus is (1/2) × √(12² + 16²) ⇒ (1/2) × √(144 + 256) ⇒ (1/2) × 20 ⇒ 10 The perimeter of the rhombus is 4 × 10 = 40 cm ∴ The perimeter of the rhombus is 40 cm. Length of arms means the length of diagonals.

The length of the diagonals of a rhombus is 16 cm and 12 cm. What is the perimeter of the rhombus?1. 56 cm2. 28 cm3. 26 cm4. 40 cm

Answer» Correct Answer - Option 4 : 40 cm

Given:

The length of the arms of a rhombus is 16 cm and 12 cm.

Concept Used:

If the length of the diagonals of a rhombus are d₁ and d₂ then the sides of the rhombus is (1/2) × √(d₁² + d₂²)

The perimeter of a rhombus is (4 × Length of the side of the rhombus)

Calculation:

Here d₁ = 16 cm

and d₂ = 12 cm

The length of the sides of the rhombus is (1/2) × √(12² + 16²)

⇒ (1/2) × √(144 + 256)

⇒ (1/2) × 20

⇒ 10

The perimeter of the rhombus is 4 × 10 = 40 cm

∴ The perimeter of the rhombus is 40 cm.

Length of arms means the length of diagonals.

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