Given:
A 174-inch board is cut into two pieces. One piece is five times the length of the other.
To find:
the lengths of the two pieces.
Solution:
Let the length of the smaller piece be x. So, the length of the longer piece is 5x.
According to the question,
[tex]\begin{gathered} x+5x=174 \\ 6x=174 \\ x=29 \end{gathered}[/tex]So, the length of the smaller piece is 29 inches and the length of the longer piece is 29 x 5 = 145 inches.
Thus, the short piece is 29 inches and the long piece is 145 inches.
