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# The plan and measurement for a house are given in Fig. 9.67. The house is surrounded by a path 1m wide. Find the cost of paving the path with bricks at a rate of ₹120 per m²

**Solution:**

The figure represents the plan and measurement for a house.

The house is surrounded by a path 1 m wide.

We have to find the cost of paving with bricks at a rate of ₹120 per m².

Area of rectangle = length × breadth

Considering rectangle PQRS,

Length = 1 + 4 + 2.5 + 4 + 1

= 10 + 2.5

= 12.5 m

Breadth = 1 + 3 + 3 + 1

= 2 + 6

= 8 m

__Area of rectangle__ PQRS = 12.5(8)

= 100 m²

Considering rectangle ADFH,

Length = 4 + 2.5 + 4 = 10.5 m

Breadth = 3 + 3 = 6 m

Area of rectangle ADFH = 10.5(6)

= 63 m²

Area of path = area of rectangle PQRS - area of rectangle ADFH

= 100 - 63

= 37 m²

Cost of paving 1 m² = ₹120

Cost of 37 cm² = 120 × 37

= ₹4440

Therefore, the total cost of paving is ₹4440.

**✦ Try This: **Find the perimeter of the figure.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 125 (i)**

## The plan and measurement for a house are given in Fig. 9.67. The house is surrounded by a path 1m wide. Find the cost of paving the path with bricks at a rate of ₹120 per m².

**Summary:**

The plan and measurement for a house are given in Fig. 9.67. The house is surrounded by a path 1m wide. The cost of paving the path with bricks at a rate of ₹120 per m² is ₹4440.

**☛ Related Questions:**

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