The length of the diagonals of a rhombus is 16 cm and 12 cm. What is the perimeter of the rhombus?
1. 56 cm
2. 28 cm
3. 26 cm
4. 40 cm
1. 56 cm
2. 28 cm
3. 26 cm
4. 40 cm
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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.