Question

To find the lengths of JK you’d set up and solve: 7x=3x+14

Answer 1

We are given a parallelogram JKLM.

Recall that the opposite sides of a parallelogram are equal.

This means that JK = LM

$\begin{gathered} JK=LM \\ 7x=3x+14_{} \end{gathered}$

Let us solve the above equation for x

$\begin{gathered} 7x=3x+14 \\ 7x-3x=14 \\ 4x=14 \\ x=\frac{14}{4} \\ x=\frac{7}{2} \\ x=3.5 \end{gathered}$

So, the value of x is 3.5

The length of JK is

$JK=7x=7(\frac{7}{2})=\frac{49}{2}=24.5$

Therefore, the length of JK is 24.5