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Question -

A path 1 m wide is built along the border and inside asquare 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 therate of ₹ 40 per m2.



Answer -


Area of the square garden = (Side)2
= 30 m × 30 m = 900 m2
Length of the garden excluding the path = 30 m – 2 × 1 m = 28 m
∴ Areaof the garden excluding the path = 28 m × 28 m = 784 m2
(i) Area of the path = 900 m2 –784 m2
= 116 m2
(ii) Cost of the planting the remaining portion at the rate of ₹ 40 per m2
= ₹ 40 × 784 = ₹ 31,360

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