Let's break down the problem step by step:

The breadth of the rectangular field is given as 5 meters.
The length is three times the breadth, which means the length is 3 * 5 = 15 meters.
Now, we need to calculate the total length of fencing required to enclose the field while leaving 0.5 meters of space from each side. This means the effective length and breadth of the field, including the space, will be increased by 0.5 meters on each side.

Effective breadth = 5 meters + 0.5 meters + 0.5 meters = 6 meters Effective length = 15 meters + 0.5 meters + 0.5 meters = 16 meters

Now, we can calculate the total length of fencing required, considering the effective length and breadth:

Total length of fencing = 2 * (Effective length + Effective breadth)

Total length of fencing = 2 * (16 meters + 6 meters)

Total length of fencing = 2 * 22 meters

Total length of fencing = 44 meters

So, the total length of fencing required to enclose the field while leaving 0.5 meters of space from each side is 44 meters.