To solve this problem, we need to follow a series of steps to find the length of each piece after the board is cut.
1. Understand the given values:
- The board is 4 yards long.
- The board is cut into 3 equal pieces.
2. Convert the board's length from yards to inches:
- We know that 1 yard is equal to 36 inches.
- To convert 4 yards to inches, we multiply:
[tex]\[
4 \text{ yards} \times 36 \text{ inches/yard} = 144 \text{ inches}
\][/tex]
3. Determine the length of each piece:
- The entire board length in inches is 144 inches.
- The board is cut into 3 equal pieces. To find the length of each piece, we divide the total length by the number of pieces.
[tex]\[
144 \text{ inches} \div 3 = 48 \text{ inches}
\][/tex]
Thus, each piece is 48 inches long. The correct answer is:
D. 48 inches
