Answer:
Each brace uses 2.[tex]\overline 6[/tex] inches of wood
Step-by-step explanation:
The given parameters are;
The length of the board from which he cuts the wood = 8 feet
The length of the wood he cuts from the board = 4 feet
The number of corners on the braces of equal sizes he makes with the wood he has left = 18 corner brace
We have;
The length of the wood he has left = (The length of the board) - (The length of the wood he cuts from the board)
∴ The length of the wood he has left = 8 feet - 4 feet = 4 feet
The length of each brace the man can cuts from the wood he has left = (The length of the wood he has left)/(The number of corner braces he cuts)
∴ The length of each brace = (4 feet)/(18 braces) = (48/18) inches/(braces) = (8/3) inches/brace = 2.[tex]\overline 6[/tex] inches of wood per brace