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Question
A path 1 m wide is built along the border and inside a square garden of side 30 m. Find:
1) the area of the path
2) the cost of planting grass in the remaining portion of the garden at the rate of Rs 40 per m2
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Solution
1) Side (a) of square garden = 30 m
Area of square garden including path = a2 = (30)2 = 900 m2
From the figure, it can be observed that the side of the square garden, when path is not included, is 28 m.
Area of the square garden not including the path = (28)2 = 784 m2
Area of path = Area of the square garden including the path − Area of square
garden not including the path
= 900 − 784 = 116 m2
2) 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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