A board is 9feet 9 1/2 inches long. Jeff cuts as many pieces with a length of 11 1/4 inches as possible from the board. Assuming no waste, how long is the remaining piece of board?
Answer:
\(\frac{281}{4} inches\) is the remaining piece of board.
Step-by-step explanation:
Length of the board ,T= 9 feet 9 (1/2) inches
1 foot = 12 inches
9 feet 9 (1/2) inches = \(9\times 12 +\frac{19}{2} inches=\frac{163}{2} inches\)
Length of the board =T=\(\frac{163}{2}inches\)
Length of the board cut by Jeff = l = \(11\frac{1}{4} inches=\frac{45}{4} inches\)
Length of the remaining piece of board: T - l
=\(\frac{163}{2}inches-\frac{45}{4} inches=\frac{281}{4} inches\)