Question

Area of a regular hexagon is 24 root 3 cm square then perimeter is equals to

Answer 1

Answer:

Step-by-step explanation:

area of hexagon is $\frac{ 3\sqrt{3} }{2} a^{2}$

hence

$24\sqrt{3} = \frac{3\sqrt{3} }{2} a^{2} \\24=\frac{3}{2} a^{2} \\\frac{24*2}{3} =a^{2}\\\\frac{48}{3} = a^{2} \\16=a^{2} \\a=\sqrt{16} \\a=4$

thus the side is 4cm

perimeter = 6a

perimeter =24cm