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  • A path 1 m wide is built along the border and inside a square garden of side 30 m. (i) Find the area of the path.

Q 5. A path $1$ m wide is built along the border and inside a square garden of side $30$ m. Find:

(i) the area of the path.

Answers (1)

best_answer

It is given that side of square garden is $30$ m
We know that area of square is $ = a^{2}$
$\Rightarrow a^2=(30)^2=900 \mathrm{~m}^2$-------(i)

Now, the area of the square garden without 1 m border is
$\Rightarrow a^2=(28)^2=784 m^2$-----(ii)
Area of path is (i) - (ii)
$\Rightarrow 900-784=116 m^2$
Therefore, the area of the path is $116 \mathrm{~m}^2$.

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Riya

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