If the sides of an equilateral triangle be increased by

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If the sides of an equilateral triangle be increased by 1 m its area is increased by 3 sq. metre. The length of any of its sides is

1. 2 metre
2. 5/2 metre
3. 3/2 metre
4. 3 metre

Correct Option: C

Using Rule 6,
Side of equilateral triangle = x metre
∴ Difference of area = √3

⇒	√3	[(x + 1)² - x²]√3
	4

⇒ x² +2x + 1 – x² = 4
⇒ 2x + 1 = 4
⇒ 2x = 3 ⇒ x = 3/2 metre