The perimeter of a rhombus is 100 cm. If one of its diagonals

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The perimeter of a rhombus is 100 cm. If one of its diagonals is 14 cm, then the area of the rhombus is

1. 144 cm²
2. 225 cm²
3. 336 cm²
4. 400 cm²

Correct Option: C

Using Rule 12,
Perimeter of rhombus
= 2 √d₁² + d₂²
Where d₁ and d₂ are diagonals.
∴ 2√d₁² + d₂² = 100
⇒ √d₁² + d₂² = 50
⇒ d₁² + d₂² = 2500
⇒ (14)² + d₂² = 2500
⇒ d₂² = 2500 – 196 = 2304
∴ d² = √2304 = 48

∴ Area of the rhombus =	1	d₁² × d₂²
	2

∴ Area of the rhombus =	1	14 × 48 = 336 sq.cm
	2