Question

A rectangle with length = 18 cm and breadth = 12 cm has same perimeter as that of a regular pentagon. Find the side of the pentagon.

Answer 1

Length of rectangle = 18 cm

Breadth of rectangle = 12 cm

∴ Perimeter of rectangle = 2 x (l + b)

= 2 x (18+12)

= 2 x 30 = 60 cm

∵ Perimeter, of rectangle = Perimeter of pentagon

60 cm = 5 x side

side = 60/5 cm = 12 cm

∴ Side of the pentagon = 12 cm Ans.