# Q.5 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 Rs. 40 per $$m^2.$$

Answer :

Area of the square garden =$$(Side)^2$$
= 30 m × 30 m =$$900 m^2$$
Length of the garden excluding the path = 30 m – 2 × 1 m = 28 m
$$\therefore$$Area of the garden excluding the path = 28 m × 28 m = 784$$m^2$$
(i) Area of the path =$$900 m^2 – 784 m^2 = 116 m^2$$
(ii) Cost of the planting the remaining portion
at the rate of Rs. 40 per$$m^2$$ = Rs. 40 × 784 = Rs. 31,360