The correct option is D 6 cm
Length of a side of the given hexagon
= 5 cm
A regular polygon has all sides equal.
⟹ Each of the 6 sides of the regular hexagon measures 5 cm.
⟹ Perimeter of the regular hexagon
= 5 cm + 5 cm + 5 cm + 5 cm +
5 cm + 5 cm
= 30 cm
It is given that the regular pentagon has a perimeter of 30 cm.
Let the length of a side of the regular pentagon be x cm.
Since the pentagon is regular, each of the 5 sides measures x cm.
⇒ Perimeter of the regular pentagon
=5×x=5x cm
⟹5x=30
⟹x=305=6 cm
Thus, each side of the regular pentagon measures 6 cm.