Keerthana
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If the numerical value of the perimeter of an equilateral triangle is 3sqrt{3} times the area of it, then the length of each side of the triangle is

a

2 unit

b

4 unit

c

3 unit

d

6 unit

Answer : Option B
Explanation :

If the side of the equilateral triangle be x units,

then, 3x=3(34x2)3 x=sqrt{3}left(frac{sqrt{3}}{4} x^{2} ight)

3x=3x24Rightarrow 3 x=frac{3 x^{2}}{4}

x=4Rightarrow x=4 units

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