Final answer:
The length of the midsegment of a trapezoid with bases of length 16 and 22 is 19.
Step-by-step explanation:
In a trapezoid, the midsegment is a line segment that connects the midpoints of the non-parallel sides. To find the length of the midsegment, we need to find the average of the lengths of the bases. In this case, the bases have lengths of 16 and 22.
The length of the midsegment is therefore (16 + 22) / 2 = 38 / 2 = 19 units.