You have a 210 in boar that was cut into two pieces and you know that one of the pieces has five times the length of the other.
If "x" represents the smaller piece then "5x" can represent the larger piece. Both pieces add up to 210 inches so that:
[tex]x+5x=210[/tex]From this expression, you can determine the value of x:
-First, add both like terms
[tex]\begin{gathered} x+5x=210 \\ 6x=210 \end{gathered}[/tex]-Second, divide both sides by 6
[tex]\begin{gathered} \frac{6x}{6}=\frac{210}{6} \\ x=35 \end{gathered}[/tex]The smaller piece has a length of x= 35 inches
The larger piece has a length of
[tex]5x=5*35=175inches[/tex]
