Question

The perimeter of a square garden is 48m. A small flower bed covers 18sqm area inside this garden.

Answer 1

perimeter of the square 48 m
side of square (48)/4=12 m
area of the square garden (12)² m2
= 144 m2
area without flower bed= (144-18) m2= 126 m2

Answer 2

The area of the garden that is not covered by the flower bed is 126 m².

Fractional part of the garden is covered by flower bed is $\frac{1}{8}$.

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

Step-by-step explanation:

Given : The perimeter of a square garden is 48m. A small flower bed covers 18 sq m area inside this garden.

To find : 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 ?

Solution :

Perimeter of garden = 48 m

Perimeter of the square is $P=4\times side$

i.e. $48=4\times s$

$s=\frac{48}{4}$

$s= 12$

Area of garden is given by, $A=s^2$

$A=12^2$

$A=144\ m^2$

Area of flower bed = 18 sq.m

Area not covered by flower bed is

$A_n= 144 -18$

$A_n= 126\ m^2$

Fractional part of garden covered by flower bed is given by,

$F=\frac{18}{144}$

$F=\frac{1}{8}$

Ratio of area covered by flower and remaining area is given by,

$R=\frac{18}{126}$

$R=\frac{1}{7}$

$R= 1:7$

#Learn more

Find the area of square whose perimeter is 48m.

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