Preventing Iron golems from spawning outside the spawner platform?

Question

I managed to build an Iron golem farm in survival vanilla (1.9). later I realised that golems were spawning outside of the spawning platform. 
see images below to get the scenario.

For temporary I use suffocation method to kill them and obtain iron.

however soon I plan to prevent them from spawning outside the platform because it is written on wiki

But what can I do to prevent them from spawning?

First I thought of placing half slabs everywhere.(Here I don't know what should be spacing between slabs)

The second thought was to dig the terrain aside the farm (But I don't know how many blocks deep)

EDIT :
I decided to place half slabs. then added dark oak half slabs around the spawning platform. Still again golems were spawning outside the spawner. after few minecraft days, I saw a golem spawned inside a half slab.

Now this leaves only one option digging around the spawner platforms. However I don't know how deep should I dig?.

Orc JMR · Accepted Answer

For a Golem to spawn, it needs 4 blocks of height before the next solid block, and 2 blocks of horizontal space (Golems can spawn between blocks horizontally, so they may fit into 2-wide passage). Golem spawning is not impeded by half-slabs, other transparent blocks, or liquids, so you can't cover the floor with spaced half-slabs like it works with Spiders.

This leaves you with only two options:

Fill the entire volume of Golem spawning (which is 16x16x6 around village center) with solid block floors 3 blocks of air apart. You can also use walls 1 meter apart, but floors are probably a bit prettier :-)
You can leave the bottommost floor 4 levels below level of your doors, and keep air up from there.

Did I already tell Golems can spawn in transparent blocks? :-)

Vincent Hynes · Answer

Try using carpet to stop Iron Golem spawns

Preventing Iron golems from spawning outside the spawner platform?

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