Answer:
1/2 units (I'm not sure what units the scale is using).
Explanation:
We could setup a proportion. The trick to doing this is lining up corresponding parts.
The scale of a plan is 1 to 200.
We want to know the scale distance that represents the distance 100 m.
So we have:
1 to 200
x to 100
Setting up a proportion:

Cross multiply:

Divide both sides by 200:




So a 1/2 units in length on the scale represents 100 m.