Question

a path 1 m wide is built along the border inside a square garden of side 30m. (i) find the area of path (ii) cost of planting grass in remaining portion of the garden at the rate of Rs. 35 per sq.m

Answer 1

(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 = Rs 40 The cost of planting grass in 784 m² of the garden = Rs 40 x 784 = Rs 31,360