If diagonals of a rhombus are 24 cm and 32 cm, then perimeter

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If diagonals of a rhombus are 24 cm and 32 cm, then perimeter of that rhombus is

1. 80 cm
2. 84 cm
3. 76 cm
4. 72 cm

Correct Option: A

Using Rule 12,

AC = 24 cm = d₂
BD = 32 cm = d₁
∴ OD = 16 cm
OC = 12 cm
∠ COD = 90°
∴ CD = √OC² + OD²
= √12² + 16²
= √144 + 256
= √400 = 20 cm
∴ Perimeter of rhombus = 4 × CD = 4 × 20 = 80 cm