The perimeter of a square garden is 48m. A small flower bed covers an 18sqm area inside this garden. The area of the garden that is not covered by the flower bed is ____.

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Detailed Solution

The perimeter of a square garden is 48m. A small flower bed covers an 18sqm area inside this garden. The area of the garden that is not covered by the flower bed is 126 sq.m.
Given that perimeter of a square garden = 48m and area of flower bed = 18 sq.m.
Now,
Perimeter of a square garden = 4

\times

side

\Rightarrow

48 = 4

\times

side

\Rightarrow

side =

\frac{48}{4}

\Rightarrow

side = 12
∴ Length of the square garden is 12 sq.m
Now, we will find the square garden
Area = side

\times

side
= 12

\times

12
= 144
∴ Area of the square garden is 144 sq.m
Area of the garden that is not covered by the flower bed
= Area of the square garden − Area of the flower bed
= 144 − 18
= 126
Therefore, area of the garden that is not covered by the flower bed is 126 sq. m.

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