Question

Please help I’ll mark brainliest

Answer 1

Answer:

166.27 m2

Step-by-step explanation:

area of hexagon = $\frac{3*\sqrt{3} }{2}$*$a^{2}$ where a = length of 1 side

this hexagon is made of 6 equivalent triangle

consider ABC triangle

let AC length be x

AB = 2 * AC = 2x = a

$bc^{2} = ab^{2} - ac^{2} \\(4\sqrt{3})^{2} =(2x)^{2} - x^{2} \\48=3*x^{2}\\ 16=x^{2} \\x=4$

Hence a = 8

hence area of hexagon = $\frac{3*\sqrt{3} }{2}$*$a^{2}$ =  $\frac{3*\sqrt{3} }{2}$ * $8^{2}$ = 166.27 m2