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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 side30\; m. Find:

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

Answers (1)
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R Riya

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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