The answer varies.
If by measurement you are seeking the length of the sides, then in whole numbers, the lengths (dimensions) would vary as follows:
1cm x 11cm (1+11+1+11 = 24)
2cm x 10cm
3cm x 9cm
4cm x 8cm
5cm x 7cm
6cm x 6cm
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There is an infinite number that can have that perimeter
Infinitely many. Select any number, L, such that 12 < L < 24. Let W = 24 - L. Then a rectangle with sides of length L cm and width W cm will have a perimeter of 48 cm. And since the choice of L was arbitrary, there are infinitely many possible values of L and thence infnitely many rectangles.
12
The edge length of a regular hexagon with a perimeter of 24 cm is 24/6 = 4 cm
3