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The perimeter of a rhombus is 60 cm and one of its diagonal is 24 cm. The area of the rhombus is
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- 108 sq. cm.
- 216 sq. cm.
- 432 sq. cm.
- 206 sq. cm.
- 108 sq. cm.
Correct Option: B
Using Rule 12,
| Side of rhombus = | = | = 15 cm | ||
| 4 | 4 |
d1 = AC = 24 cm.
OC = 12 cm. CD = 15 cm.
∠COD = 90°
∴ In ∆ OCD,
OD = √CD² - OC²
= √15² - 12²
= √225 - 144 = √81
= 9 cm.
∴ d2 = BD = 2 × 9 = 18 cm.
| = | d1d2 = | 24 × 18 = 216 sq. cm. | ||
| 2 | 2 |
