Scale has important effects in aerodynamics, so if you mean "could an observer who does not know which of two feathers is the larger, tell which is which if the two actions are run at the same apparent speed and size" the answer is "Yes, if he is a suitably informed observer." You might wish to read up about Reynolds numbers for example.

>I have been taught that acceleration due to gravity is affected by surface area and not mass. I still find it hard to believe that a situation like in my question would be possible?<

The best i can say about that statement is that it needs some tidying up.

Try it on with the guy who you thought said that. Then if his answer doesn't clear up your confusion, try us again.

acceleration due to gravity is dependent on the masses of the two bodies involved (namley Earth and feather) as proven by Newton.

Surface area has an effect as it causes the feather to suffer a slowing force from plowing through the atmosphere. But your scale model feather will suffer from the fact that although the length will be 200 times, area varies as the square of the radius(for a sphere anyway) while the volume of the feather varies as the cube of the radius(again for a sphere.) As an objects mass increases with volume (as long as it's density is fixed) then your feather's mass will increase disproporrtionatly with it's shape (area.)

I think this is what your question is asking!

WRT chwaral's answer: your formulae apply regardless of shape!

A good illustration for the questioner: Imagine a cube 1*1*1 and mass 1 of any measurement units. Its lower surface area is 1 units squared. 

  Now double all dimensions (2 by 2 by 2.) You need 8 blocks (mass = 8)

Its lower surface area is 2*2 = 4

Note that mass area ratios: 1 to 1 first example, 2 to 1 second example.

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WRT Georg's answer: the answer would be no difference wrt the scale direction.

The problem with scaded models is: if you increase the object by 2 in length, the surface will be 4 times as big and the volume (and with it, the mass) 8 times as big as the original's.

Or 200 - 40 000 - 8 000 000.

That's why they hardly ever do serious experiments with small-scale models of cars or planes, which would otherwise save a lot of money...

I think this is also why there are no very big flying insects.

That is why fine dust falls to ground with the same velocity as

bricks do?

but a huge rock falls (terminal velocity) faster than a brick