Step One
Begin by figuring out the amount of fencing without considering the gate or the arena. We'll think about them later.
The perimeter = 2*(L + W)
L = 100 m
W = 75 m
P = 2(100 + 75)
P = 350 That would be the amount needed without the arena and the gate.
Step Two
Find the value for the Arena and the Gate. You only have to think about doing both of them once.
Total = Arena + Gate
Total = 50 + 5
Total = 55
Step Three
Find out the needed amount of fencing.
Needed amount of fencing = Fence needed without the two minus amounts - the two minus amounts
Needed amount of fencing = 350 - 55 = 295 for the amount of fencing.