Answer: 14.4units
See attached for more information about the question.
Explanation:
Given;
LM = 24
KN = 10
NM = 15
KM = 10+15 = 25
Using the Triangle proportionality theorem.
Since LK || PN (LK is parallel to PN)
KN/NM = LP/PM .....1
and
NM/KM = PM/LM ......2
Substituting the values into 2, we have
15/25 = PM/24
PM = 15 × 24/25
PM = 14.4 units