The perimeter is the sum of the lengths of the sides.
1) Upper base: 6 - 4 = 2 units
2) Lower base: 8 - 2 = 6 units
3) left side:
left side ^2 = (4 - 2)^2 + (9 - 4)^2 = 2^2 + 5^2 = 4 + 25 = 29
=> left side = √29 units
4) rigth side = (8 - 6)^2 + (9 - 4)^2 = 29
=> right side = √29 units
5) Perimeter = 2 units + 6 units + √29 units + √29 units = 8 + 2√29 units
Answer: option D. 8 + 2√29 units