Answer:
MN = 9
Explanation:
You want MN if KL : LM : MN = 2 : 3 : 1 and KN = 54.
Fraction
The fraction of the total length that is segment MN is ...
MN/KN = 1/(2+3+1) = 1/6
Multiplying by KN, we have ...
MN = 1/6·KN = 1/6·54 = 9
The length of MN is 9.