The area of a rhombus is 256 square cm. and one of its diagonals

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The area of a rhombus is 256 square cm. and one of its diagonals is twice the other in length. Then length of its larger diagonal is

Using Rule 12,
One diagonal of rhombus = d₁ = x cm.
Second diagonal = d₂ = 2x cm.

Area of rhombus =	1	d₁.d₂
	2

⇒	1	x. 2x = 256
	2

⇒ x² = 256
⇒ x = 256 = 16 cm.
∴ Larger diagonal = 2x = 2 × 16 = 32 cm.