Question

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.

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