Question

The perimeter of a square garden is 48 m. A small flower bed covers 18 sq m area inside this garden. What is the area of the garden that is not covered by the flower bed? What fractional part of the garden is covered by flower bed? Find the ratio of the area covered by the flower bed and the remaining area.

Answer 1

The perimeter of the square garden = 48 m

= 4 x side = 48 m

Side = 48/4 m = 12 m

Area of the square garden = side × side

= 12 m × 12 m = 144 m²

Area of the small flower bed = 18 m²

∴ The area of the garden that is not covered by the flower bed = 144 m² – 18 m² = 126 m²

The required fractional part of the garden which is covered by the flower bed 

= Area of the flower bed/ Area of the square garden = 15/144 = 1/8

The ratio of the area covered by the flower bed and the remaining area

= 18/126 = 1/7 i.e.. 1 :7.