Answer
x = 7 units
NP = 13 units
KM = 26 units
Explantion
The fact provided that N is a midpoint of KL and P is a midpoint of LM proves that triangle NLP is exactly half the measure of triangle KLM.
And the two triangles are similar to each other.
So, we can see that NP is the corresponding side to KM.
And since KLM = 2 (NLP),
KM = 2 (NP)
KM = 33 - x
NP = x + 6
KM = 2 (NP)
33 - x = 2 (x + 6)
33 - x = 2x + 12
We can rewrite this as
2x + 12 = 33 - x
2x + x = 33 - 12
3x = 21
Divide both sides by 3
(3x/3) = (21/3)
x = 7
NP = x + 6 = 7 + 6 = 13 units
KM = 33 - x = 33 - 7 = 26 units
Hope this Helps!!!