Given: A parallelogram JKLM with sides
[tex]\begin{gathered} JK=14+2x \\ LM=5x-1 \end{gathered}[/tex]
Required: To determine the length of side JK.
Explanation: In a parallelogram, the opposite sides are parallel and equal.
Hence,
[tex]JK=LM[/tex]
Substituting the values of sides JK and LM as-
[tex]14+2x=5x-1[/tex]
Solving for x as follows-
[tex]\begin{gathered} 5x-2x=14+1 \\ 3x=15 \\ x=5 \end{gathered}[/tex]
Now, the side JK is-
[tex]\begin{gathered} JK=14+2x \\ =14+2(5) \\ =24\text{ units} \end{gathered}[/tex]
Final Answer: Option B is correct.
