Question

24. The perimeter of a rhombus is 100cm. If one of its diagonals is 14cm, then the area of the rhombus is.
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Answer 1

Answer:

336 sq. cm

Step by Step Explanation:

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