Answer:
\(1\dfrac{3}{4}\text{ feet}\)
Step-by-step explanation:
From the given information, we have
Total length of board = 8 foot
Length of one piece = \(2\dfrac{3}{4}=\dfrac{8+3}{4}=\dfrac{11}{4}\)
Length of second piece = \(3\dfrac{1}{2}=\dfrac{6+1}{2}=\dfrac{7}{2}\)
We need to find the length of remaining board.
Length of remaining board = Total length of board - Length of one piece - Length of second piece
\(\text{Length of remaining board}=8-\dfrac{11}{4}-\dfrac{7}{2}\)
\(\text{Length of remaining board}=\dfrac{32-11-14}{4}\)
\(\text{Length of remaining board}=\dfrac{7}{4}=1\dfrac{3}{4}\)
Therefore, the length of remaining board is \(1\dfrac{3}{4}\text{ feet}\).
