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The smallest perimeter you could have on a rectangle that has an area of 24cm^2 would be if all sides were 2 times the square root of 6. The largest perimeter possiblewould be if it was an infinitesimally small distance by an infinitely long side. There is an infinite amount of perimeters inbetween.

You can make a rectangle with a fractional perimeter and a whole number area such as 0.25m by 16m with an area of 4m^2 and a perimeter of 32.5m. You can have a whole perimeter and a fractional area such as 0.5m by 7m with a perimeter of 15m and an area of 3.5m^2.