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Core is the inner region of a chip where you would be placing your macros, standard cells, memories, blocks in your design ( or you can say region other than IO region is core region of a chip).
W and H of a core depend upon W and H of a chip, which depends upon :
1 ) IP's used in your design.
2 ) External Requirements (where exactly your chip is going to sit on the PCB).
3 ) Core W and H will also depend upon size of IO cell used in your design.
4 ) What kind of package you are going to use for chip ( usually BGA, quad flat package chips are almost square in shape ).