Sure, let's solve the problem step-by-step:
1. Convert the total board length:
- The board is 8 feet 4 inches long.
- First, convert the 8 feet to inches:
[tex]\[
8 \text{ feet} \times 12 \text{ inches/foot} = 96 \text{ inches}
\][/tex]
- Add the additional 4 inches to the total:
[tex]\[
96 \text{ inches} + 4 \text{ inches} = 100 \text{ inches}
\][/tex]
So, the total length of the board is 100 inches.
2. Divide the board into equal pieces:
- The board needs to be cut into 4 equal pieces.
- Divide the total length by the number of pieces:
[tex]\[
\frac{100 \text{ inches}}{4} = 25 \text{ inches}
\][/tex]
Therefore, each piece should be 25 inches long.
3. Convert the length of each piece back to feet and inches:
- Determine how many feet are in 25 inches:
[tex]\[
\left\lfloor \frac{25 \text{ inches}}{12 \text{ inches/foot}} \right\rfloor = 2 \text{ feet}
\][/tex]
- Calculate the remaining inches after converting to feet:
[tex]\[
25 \text{ inches} \mod 12 \text{ inches/foot} = 1 \text{ inch}
\][/tex]
So, each piece is 2 feet 1 inch long.
Thus, each of the four pieces from the 8 feet 4 inches board will be 2 feet 1 inch long.
