Answer:
Length of first piece = 1.7058823 ft
Length of second piece = 4(1.7058823) = 6.82352941 ft
Length of third piece = 12(1.7058823) = 20.47058823 ft
Step-by-step explanation:
As given, Total length of the board = 29 ft
Let the board is divided into 3 pieces
Suppose that the length of first piece = x ft
As given, the second piece is 4 times longer than the first
⇒Length of second piece = 4x ft
Also given, the third piece is 3 times longer than the second.
⇒Length of third piece = 3(4x) = 12x ft
Now,
As total length of board = 29
⇒ x + 4x + 12x = 29
⇒ 17x = 29
⇒ x = = 1.7058823 ft
∴ we get
Length of first piece = 1.7058823 ft
Length of second piece = 4(1.7058823) = 6.82352941 ft
Length of third piece = 12(1.7058823) = 20.47058823 ft