Question

Tomas needs lumber to make corner braces for a piece of furniture he is building. He cuts 4 feet from a board that is 8 feet long. With the wood

he has left, Tomas makes 18 corner braces of equal size. How many inches of wood does each brace use?

Answer 1

Each brace uses 2.
`\overline 6` inches of wood

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.
`\overline 6` inches of wood per brace