Answer
$x=11$ $inches$
Work Step by Step
Step 1:
Refer to the image in the answer.
If the board is cut into 9 pieces, then we made 8 cuts.
Let $y=$ total loss (loss per cut times the number of cuts)
So,
$y=(\frac{1}{8}in)(8)=1in$
Step 2:
The length of each piece will be the total length of the board minus the loss, all of this divided by the number of pieces.
Let $x=$ length of each piece
Remember 1 ft is 12 inches, so 8 ft 4 in = 100 in.
So,
$x=\frac{100in-1in}{9}=11 in$
