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


(ii) The cost of planting grass in the remaining portion of the garden at the rate of Rs 40 per m2.

(i) It is given in the question that,


Side of square garden = 30 m


We know that,


Area of square = (Side)2


∴ Area of square garden = (30)2


= 900 m2



From the figure it can be observed that the side and breadth of the given garden (When path is not included) is 28 m


∴ Area of garden not including path = (28)2


= 784 m2


Area of path = Area of the square garden including the path – Area of the square garden not including path


= 900 – 784


= 116 m2


(ii) It is also given in the question that,


Cost of planting grass in 1 m2 area of the garden = Rs 40


∴ Cost of planting grass in 784 m2 area of the garden = 784 × 40


= Rs 31360


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