A carpenter is building a gate that will be 3-1/4 feet wide. The gate will be made of boards 3 inches wide. How many pieces of board will it take to fit across the front of the gate?

Question

9-3/4
11
12
13
none

Answer 1

To determine how many pieces of board are needed for a gate that is 3-1/4 feet wide, first convert the gate width from feet to inches:

1. Convert the width of the gate to inches: \[ 3 \text{ feet} = 3 \times 12 = 36 \text{ inches} \] Therefore, \[ 3 \frac{1}{4} \text{ feet} = 36 \text{ inches} + 3 \text{ inches} = 39 \text{ inches} \]

2. Width of each board: The width of each board is 3 inches.

3. Calculate the number of pieces of board needed: To find the number of boards needed, divide the total width of the gate by the width of each board: \[ \text{Number of boards} = \frac{39 \text{ inches}}{3 \text{ inches}} = 13 \]

Thus, it will take 13 pieces of board to fit across the front of the gate.

The correct answer is 13.