Simplistically, all the time you're cornering on two wheels, wider track equals more grip. All the time you're cornering on one wheel, wider track equals less grip.
Rye House is a good circuit to demonstrate this. Around stadium, where very low steering angles are used, wider rear track gives a more stable rear end. Get to the first hairpin, where higher steering angles are used, and a narrower track gives a more stable rear end.
Why is this the case? Lets say you have an 80kg load across the two rear tyres (40kg on each). In this condition you have the most total grip that pair of tyres can produce. Enter the corner and weight transfers (say 60kg on the left, 20kg on the right), you now have less total grip across the pair of tyres (there's plenty of research that confirms this, essentially the increase in grip on one side does not offset the decrease in grip on the other). A wider track reduces load transfer and therefore increases grip across that pair of tyres.
Now take the example where we are cornering on one wheel. Here, we already have no load on the inside so we're only concerned with the outside wheel. Narrowing the rear width now means more load transfer, therefore more load on the outside wheel and more grip.
Regarding your specific question, the maximum overall width of a cadet is 1200mm.
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