Question

Question 52

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? Find the ratio of the area covered by the flower bed and the remaining area.

Answer 1

Let side of square garden be x cm.

Given that, perimeter of a squared garden = 48 m

$\Rightarrow$ 4$\times$Side of a square = 48

$\Rightarrow$ 4x = 48

$\Rightarrow$ x= $\frac{48}{4}$= 12 m

Now, area of the squar garden =$(x{)}^2=(12{)}^2=144m^2$

$\therefore$ Area of the garden not covered by flower bed

= Area of square garden - Area of flower bed

= 144 - 18 = 126 $m^2$

Area of the garden not covered by flower bed= 126 $m^2$

Ratio of the area covered by the flower bed and remaining area

= $\frac{\text{Area covered by the flower}}{\text{Area of remaining garden}}=\frac{18}{126}=\frac{1}{7}$

Hence, the ratio of area covered by the flower bed and the remaining area is 1:7.