If there are 29 vehicles per one square kilometers, how many square kilometers per 100 vehicles are there?

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29 vehicles/$km^2$ means (1/29) $km^2$/(1 vehicle)

Per 100 vehicles there are 1/2900 $km^2$.

Whatever you sq kilometers are you have to divide by 100 moto vehicles

100/29 $km^2$/100 vehicles

(100/29)/100=1/29

Why is the wrong?

The other way is if you have more vehicles, you add up the $km^2$ each has, so you multiple (1/29) by 100.