Answer:
48m
Explanation:
Four pieces are easily found,
6m, 6m, 8m, 8m
The diagonal pieces can be found using Pythagoras theorem
+
=
![c^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/k35u7m6yuyioehiuxbng19npestgihit5x.png)
Where c is the length of the diagonal piece and a and b are the two sides of the triangle
+
=
![c^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/k35u7m6yuyioehiuxbng19npestgihit5x.png)
64 + 36 =
![c^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/k35u7m6yuyioehiuxbng19npestgihit5x.png)
100 =
![c^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/k35u7m6yuyioehiuxbng19npestgihit5x.png)
= c
c = 10
Remember there are two identical diagonal pieces
Total length of the wood = 6 + 6 + 8 + 8 + 10 + 10
Total length of the wood = 48m