The required figure is,
The length of fencing material required = Perimeter of the figure.
Perimeter is calculated as,
[tex]\begin{gathered} Perimeter\text{ = sum of the length of all the sides} \\ Perimeter\text{ = 11.8 m + 18.5 m + 12.1 m +5.4 m + 6.4 m + 6.4 m } \\ Perimeter\text{ = 60.6 m} \\ \end{gathered}[/tex]Thus 60.6 m of fencing material is needed.