Answer:
45 units
Step-by-step explanation:
See the given diagram with the question here.
The point D and point E are the midpoints of line segments AC and BC respectively.
Therefore, the length of the line joining points D and E will be half of length AB.
Now, given that AB = 11x - 25 and DE = 4x + 1.
Hence, ( 11x - 25 ) = 2 ( 4x + 1 )
⇒ 3x = 33
⇒ x = 11
Therefore, length DE = 4x + 1 = 4 ( 11 ) + 1 = 45 units. (Answer)