Answer:
[tex]LM = 6cm[/tex]
Step-by-step explanation:
[tex]LM = KN[/tex]
[tex]3x =x + 4[/tex]
[tex]3x - x = 4[/tex]
[tex]2x = 4[/tex]
[tex] \frac{2x}{2} = \frac{4}{2} [/tex]
[tex]x = 2[/tex]
then
[tex]LM = 3x[/tex]
[tex]LM =3 \times 2[/tex]
[tex]LM = 6cm[/tex]
