Question

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?

Answer 1

the board must be at least as big as the project's length needed,
so, it needs to be at least
`\left( 2(3)/(4) \right)+\left( 2(3)/(4) \right)+\left( 2(3)/(4) \right)+\left( 2(3)/(4) \right)+\left( 2(3)/(4) \right) \\ \quad \\ or \\ \quad \\ 5\cdot \left( 2(3)/(4) \right)\implies \boxed{?}`

Answer 2

The length of the board is 13.75 ft.

Explanation:

Given : 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.

To find : How long must the board be to allow this?

Solution :

They needed to cut 5 lengths of
`2(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(3)/(4)`

So, The board must be at least as big as the project's length needed,

i.e,
`x=5 *2(3)/(4)`

Now, we solve the expression,

`x=5 *(11)/(4)`

`x=(55)/(4)`

`x=13.75 ft.`

Therefore, The length of the board is 13.75 ft.