Question

The perimeter of an equilateral triangle is 48m. The area of the
triangle is

a)16√3 2
b)128√3 2

c) 64√3 2
d) 256√3 2​

Answer 1

Answer:

Perimeter of equilateral triangle=48 m

3 a=48

a=16

$area = \frac{ \sqrt{3} }{4} {a}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times {16}^{2} \\ \\ = 64 \sqrt{3} \: \: {m}^{2}$