The vertices of the fence have been given as:
Point A: ( 4, -4)
Point B: (-4, -4)
Point C: (-4, 3)
Point D: (1, 3)
Point E: (1, -1)
Point F: (4, -1)
Planner wants to add a gate between A and F for which he will not put metal fencing on that side.
We have to calculate the total number of yards of metal fencing that will be needed; as follows:
Length AB:

Length BC:

Length CD:

Length DE:

Length FE:

Now, total number of yards of the fence =
AB + BC + CD + DE + FE
8 + 7 + 5 + 4 + 3 = 27 yards
ANSWER
27 yards