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 ₹ 40 per m ².

(i) Side of the square garden = 30 m and
Width of the path along the border = 1 m
Side of square garden without path = 30 – (1 + 1) = 30 – 2 = 28 m
Now Area of path = Area of ABCD – Area of EFGH
= (AB x AD) – (EF x EH)
= (30 x 30) – (28 x 28)
= 900 – 784
= 116 m²
(ii) Area of remaining portion = 28 x 28 = 784 m²
The cost of planting grass in 1 m2 of the garden = ₹ 40
The cost of planting grass in 784 m2 of the garden = ₹40 x 784 = ₹ 31,360

Class 7 Maths Chapter 11 Exercise 11.4

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