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The area of a rhombus is 216 cm² and the length of its one diagonal is 24 cm. The perimeter (in cm) of the rhombus is
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- 52
- 60
- 120
- 100
- 52
Correct Option: B
Using Rule 12,
| Area of rhombus = | d1d2 | |
| 2 |
| ⇒ 216 = | × 24 × d2 | |
| 2 |
| ⇒ d2 = | = 18 | |
| 12 |
∴ AO = 12 cm, BO = 9 cm
⇒ AB = √24² + 10² = √576 + 100
= √225 = 15 cm
∴ Perimeter of rhombus = 4 × 15 = 60 cm
