If the area of an equilateral triangle is 163 cm2 , then the perimeter of the triangles is

Area =163 cm2 34a2=163 a2=64 a=64 a=8 cm Perimeter =p=3×a =3×8 = 24 cm

If the area of an equilateral triangle is 163 cm2 , then the perimeter of the triangles is

Area =163 cm2 34a2=163 a2=64 a=64 a=8 cm Perimeter =p=3×a =3×8 = 24 cm

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If the area of an equilateral triangle is $16 \sqrt{3} {cm}^{2}$ , then the perimeter of the triangles is

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12 cm

306 cm

24 cm

48 cm

answer is B.

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Detailed Solution

Area

= 16 \sqrt{3} {cm}^{2}

$\frac{\sqrt{3}}{4} a^{2} = 16 \sqrt{3}$

$a^{2} = 64$

$a = \sqrt{64}$

$a = 8$ cm

Perimeter $= p = 3 \times a$

$= 3 \times 8$

$=$ 24 cm

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If the area of an equilateral triangle is $16 \sqrt{3} {cm}^{2}$ , then the perimeter of the triangles is