Question

Find the area of the hexagon with steps please

Answer 1

`\mathsf{r=h_(\Delta)}\\ \\ \mathsf{12=(l√(3))/(2)}\\ \\ \mathsf{l√(3)=2\cdot12}\\ \\ \mathsf{l=(24)/(√(3))}\\ \\ \\ \boxed{\mathsf{l=8√(3)~cm}}`

And now:


`\mathsf{A_h=(6\cdot l^2√(3))/(4)}\\ \\ \\ \mathsf{A_h=(3\cdot(8√(3))^2\cdot√(3))/(2)}\\ \\ \\ \mathsf{A_h=3\cdot32\cdot3\cdot√(3)}\\ \\ \\ \boxed{\mathsf{A_h=288√(3)~cm^2}}`