Here's a couple of cents from a (student) radio astronomer:
The name of the SKA refers to the total collecting area of the telescope, not the area over which it will be built. So if it's built of dishes with an area of (say) 100 m^2 each, there'll be 10,000 of them, for a total of 1,000,000 m^2 = 1 km^2. They'll be spread out over a distance of thousands of kilometres - which, as you say, lets you use them as an interferometer with the same resolution as a single giant dish of that size.
There are two main components of the planned SKA: the high-frequency part, which uses classical parabolic dishes, and the low-frequency part, which uses weird-looking omnidirectional antennas (like this [wikipedia.org]). The high-frequency part is being built mainly in South Africa, but part of it (ASKAP, the telescope in this story) is being built in Australia. The low-frequency part is being built entirely in Australia (and has its own pathfinder, the MWA [wikipedia.org]).
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