The perimeter of a square garden is 48m. A small flower bed covers 18sqm 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.
Perimeter of garden = 48 m
4 × side = 48
side = 12 m
Area of garden = side2
= 12 × 12
= 144 sq.m
Area of flower bed = 18 sq.m
Area not covered by flower bed = 144 – 18
= 126 sq.m
Fractional part of garden covered by flower bed = 18 / 144
= 1 / 8
Ratio of area covered by flower and remaining area = 18 / 126
= 1 / 7
= 1:7