Question

You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 32 feet long. If the remaining piece needs to be 1.95 times longer than each of the first two cuts, what length board should you buy? Round to the nearest tenth.

Answer 1

`126.4ft`

Step-by-step explanation

The first two pieces were 32 feet long pieces each. The third piece needs to be 1.95 times longer than each of the first two.

This means that the length of the third piece needs to be:

`\begin{gathered} 1.95\cdot32 \\ \Rightarrow62.4ft \end{gathered}`

Hence, the length of board that should be bought is:

`\begin{gathered} 32+62.4+32 \\ 126.4ft \end{gathered}`