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 m²

Solution:

Let's represent the situation diagrammatically as shown below.

Area of the square garden = Side × Side

= 30 m × 30 m

= 900 m²

Length of the garden excluding the path = 30 m - (2 × 1) m

= 30 m - 2 m

= 28 m

Area of the garden excluding the path = Side × Side

= 28 m × 28 m

= 784 m²

(i) Area of the path = Area of the square garden - Area of the garden excluding the path

= 900 m² - 784 m²

= 116 m²

(ii) The cost of planting grass in 1 m² portion of the garden = Rs. 40

The cost of planting grass in the 784 m² portion of the garden = Rs. 40 × 784 = Rs. 31360

☛ Check: NCERT Solutions for Class 7 Maths Chapter 11

Video Solution:

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 m²

Maths NCERT Solutions Class 7 Chapter 11 Exercise 11.4 Question 5

Summary:

A path 1 m wide is built along the border and inside a square garden of side 30 m. Then: (i) the area of the path is 116 m² (ii) the cost of planting grass in the remaining portion of the garden at the rate of ₹ 40 per m² is ₹ 31,360.

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