Answer:
17
Explanation:
The median segment (HJ = 5x+2) has a length that is the average of the lengths of the other parallel segments, (KL = 4x+1, and NM = 27). Writing this relation as an equation, we have ...
... 5x + 2 = (4x + 1 + 27)/2
... 10x + 4 = 4x + 28 . . . . . . multiply by 2, collect terms
... 6x = 24 . . . . . . . . . . . . . . add -4x-4
... x = 4 . . . . . . . . . . . . . . . . . divide by 6
Then the length of KL is ...
... KL = 4x +1
... = 4·4 +1 = 17
