A piece of wood is cut into three pieces in the ratio 2:3:5. If C longer than B byby 8cm, find the lengths of the piece of wood.

40cm

Step-by-step explanation:

b = length of 2nd wood segment cut/cm

l = length of whole whole wooden piece/cm

So;

2:3:5

2/3 (b) : b:5/3 (b)

5/3 (b) = b + 8

5b = 3b + 24

2b = 24

b = 12

l = 2/3 (b) + b + 5/3 (b)

l = 2/3 (12) + 12 + 5/3 (12)

l = 8 + 12 + 20

l = 40cm