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

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.

Answer 2

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