Question

1. Look at the figure, Square JKLM. Find the length of line segment JKM5x-114+ 2xL

Answer 1

Given: A parallelogram JKLM with sides

`\begin{gathered} JK=14+2x \\ LM=5x-1 \end{gathered}`

Required: To determine the length of side JK.

Step-by-step explanation: In a parallelogram, the opposite sides are parallel and equal.

Hence,

`JK=LM`

Substituting the values of sides JK and LM as-

`14+2x=5x-1`

Solving for x as follows-

`\begin{gathered} 5x-2x=14+1 \\ 3x=15 \\ x=5 \end{gathered}`

Now, the side JK is-

`\begin{gathered} JK=14+2x \\ =14+2(5) \\ =24\text{ units} \end{gathered}`

Final Answer: Option B is correct.