Question

The area of an equilateral triangle is 16 root 3 meter square. Find its perimeter (in meter)

Answer 1

area of an equilateral triangle is
$( \sqrt{3} \div 4) \times {side}^{2} = 16 \sqrt{3}$
${side}^{2} \div 4 = 16$
${side}^{2} = 4 \times 16$
$side = 2 \times 4$
$side = 8$
$perimeter = 3 \times 8 = 28m$

Answer 2

we know that area of equilateral triangle is
√3/4×side²
now
(√3/4)× side²=16√3
side²=(16√3×4)/√3
side²=64
side=√64
side=8meter
now in eqilatrai triangle all sides are equal therefore
perimeter=3×side
24meter