Correct Answer - Option 2 : 50 cm
Given:
Longer diagonal = 24 cm
Shorter diagonal = 7 cm
Formula Used:
4a2 = d12 + d22
where, a → Side of rhombus, d1, d2 → Diagonals of rhombus
Perimeter od rhombus = 4 × Side
Calculations:
Let the side of rhhombus be x cm.
Longer diagonal = 24 cm
Shorter diagonal = 7 cm
4a2 = d12 + d22
⇒ 4x2 = (7)2 + (24)2
⇒ 4x2 = 49 + 576
⇒ 4x2 = 625
⇒ x = 25/2 = 12.5 cm
Perimeter of rhombus = 4 × Side
⇒ Perimeter of rhombus = 4 × 12.5 cm
⇒ Perimeter of rhombus = 50 cm
∴ The perimeter of rhombus is 50 cm.
