With dimensions like 5 mm from the chip out to the ground plane area, this "antenna" is electrically short, and being arranged the way it is, my guess is that the type of antenna they are working with here is a loop, since the entire RF path here is electrically pretty short ( about one eighth wavelength, roughly) and both conductors are brought around in a loop shape.
This kind of antenna is usually fairly narrow bandwidth. With chips like this it is the entire pcb that will be radiating and so the larger the overall ground plane is, the more effective it will be as an antenna system. However, the ground plane dimensions are probably not terribly critical to the impedance matching problem that they are trying to solve with this layout, otherwise they would certainly have specified the overall board/groundplane size. From my experience making pcb 800 MHz antennas, you will find that performance improves the larger you make the ground plane, at least up until it is one half wavelength in either dimension. At that dimension, the entire board is efficiently resonating and you tend to maximize the antenna efficiency and gain. Most applications make the board size whatever is needed to fit the product design and then just accept whatever radiation performance they get. But stick to their recommended layout to optimize the impedance match as I'm sure they've put a good deal of work into it. If it is operating as a loop, then the outer dimensions of the pcb won' t make any difference to the impedance match, but if you have a chance to make a larger board, go ahead and do it. If not, don't sweat it. The reason for this is that the majority of the RF current is flowing along the inside edge of that opening and not much is flowing on the outside edge of the pcb.
If the board dimensions are completely aribtrary, do yourself an favor and set one side to 120mm. Oh, and make sure the ground plane is present all the way around the perimeter of the board. This would be helpful.
(note 120 mm is one half wavelength at 850MHz times the velocity factor of the pcb which is roughly 0.7)