Length of each side of the polygon = 2.5 cm
Perimeter of the polygon = 12.5 cm
Let the number of sides of the polygon be z.
Since, perimeter = Length of one side multiplied by the number of sides
⇒12.5=2.5×z
⇒z=12.52.5
=12.52.5×1010
=12525
∴z=5
Thus, the polygon has 5 sides.