Answer:
48m
Step-by-step explanation:
Four pieces are easily found,
6m, 6m, 8m, 8m
The diagonal pieces can be found using Pythagoras theorem
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
Where c is the length of the diagonal piece and a and b are the two sides of the triangle
[tex]8^{2}[/tex] + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]
64 + 36 = [tex]c^{2}[/tex]
100 = [tex]c^{2}[/tex]
[tex]\sqrt{100}[/tex] = 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
