Answer:
28 units
Step-by-step explanation:
Looking at the coordinate grid of each location and point of Barney's stops, He starts at home, then goes to the video store, then grocery, than fast snacks and back home:
home - video (-3, 4) to (4, 4) - distance of 7 units east (right)
video - grocery (4, 4) to (4, -3) - distance of 7 units south (down)
grocery - snacks (4, -3) to (-3, -3) - distance of 7 units west (left)
snacks - home (-3, -3) to (-3, 4) - distance of 7 units north (up)
In all, Barney made a square shape with an equal distance of 7 units between all his four stops for a total of:
7 + 7 + 7 + 7 = 28 units