Philly and Boston were working on a project in carpentry class. They needed to cut 5 lengths of 2 3/4 feet from a board. How long must the board be to allow this?
the board must be at least as big as the project's length needed,
so, it needs to be at least \(\left( 2\frac{3}{4} \right)+\left( 2\frac{3}{4} \right)+\left( 2\frac{3}{4} \right)+\left( 2\frac{3}{4} \right)+\left( 2\frac{3}{4} \right)
\\ \quad \\
or
\\ \quad \\
5\cdot \left( 2\frac{3}{4} \right)\implies \boxed{?}\)
Answer:
The length of the board is 13.75 ft.
Step-by-step explanation:
Given : Philly and Boston were working on a project in carpentry class. They needed to cut 5 lengths of \(2\frac{3}{4}\) feet from a board.
To find : How long must the board be to allow this?
Solution :
They needed to cut 5 lengths of \(2\frac{3}{4}\) feet from a board.
Let x be the length of the board which is cut into 5 parts and those part length is \(2\frac{3}{4}\)
So, The board must be at least as big as the project's length needed,
i.e, \(x=5 \times2\frac{3}{4}\)
Now, we solve the expression,
\(x=5 \times\frac{11}{4}\)
\(x=\frac{55}{4}\)
\(x=13.75 ft.\)
Therefore, The length of the board is 13.75 ft.