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# A path 1 m wide is built along the border and inside a square garden of side 30 m. Find: (ii) the cost of planting grass in the remaining portion.

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

(ii) the cost of planting grass in the remaining portion of the garden at the rate of $Rs. 40\; per\; m^{2}.$

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Is is given that side of square garden is $30\; m$

We know that area of square is = $a^2$

$\Rightarrow a^2 =(30)^2 =900 \ m^2$                   -(i)

Now, area of square garden without 1 m boarder is

$\Rightarrow a^2 =(28)^2 =784 \ m^2$                              -(ii)

Area of path is (i) - (ii)

$\Rightarrow 900-784 = 116 \ m^2$

Therefore,  area of path is  $116 \ m^2$

Now,  cost of planting grass in the remaining portion of the garden at the rate of $Rs. 40\; per\; m^{2}$ is

$\Rightarrow 784 \times 40 = 31360 \ Rs$

Therefore,  cost of planting grass in the remaining portion of the garden at the rate of $Rs. 40\; per\; m^{2}.$  is  $Rs \ 31360$???????

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