A 12-foot board is divided into two pieces so one piece is twice as long as the other. What are the lengths?

Aug 28, 2017

Shorter piece: $4$ $\text{ft.}$

Longer piece: $8$ $\text{ft.}$

Explanation:

The two pieces are such that one piece is twice as long as the other.

So if the length of the shorter piece is $x$, the length of the other must be $2 x$.

Then, the total length is $x + 2 x = 12$ $\text{ft.} R i g h t a r r o w 3 x = 12$ $\text{ft.}$.

If we solve the equation $3 x = 12$ $\text{ft.}$ for $x$, we will find the length of the shorter piece:

$R i g h t a r r o w 3 x = 12$ $\text{ft.}$

$\therefore x = 4$ $\text{ft.}$

So the length of the longer piece is $2 x = 2 \times 4$ $\text{ft.}$ $= 8$ $\text{ft.}$.