The plan and measurement for a house are given in Fig. 9.67. The house is surrounded by a path 1m wide.

Find the following:

(i) Cost of paving the path with bricks at rate of ₹ 120 per m².

(ii) Cost of wooden flooring inside the house except the bathroom at the cost of ₹ 1200 per m².

(iii) Area of Living Room.

Question

Philoid · Accepted Answer

(i) Length of the inner rectangle (house, excluding path) = 4 + 2.5 + 4 =10.5 m

Breadth of the inner rectangle (house, excluding path) = 3 + 3 =6 m

Area of the inner rectangle = 10.5 × 6 = 63 m²

Length of the outer rectangle = Length of the inner rectangle + 2 × 1 =10.5 + 2 =12.5 m

Breadth of the outer rectangle = Breadth of the inner rectangle + 2 × 1 = 6 + 2 = 8 m

Area of the outer rectangle = 12.5 × 8 = 100 m²

Area of the path = Area of the outer rectangle – Area of the inner rectangle

= 100 – 63 = 37 m²

(ii) Area of the bathroom = 2.5 × 2 = 5 m²

Area of the floor to be covered = 63 – 5 = 58 m²

Cost of flooring = 120 × 58 = Rs. 6960

(iii) The living room can be divided into two rectangles of dimensions

6.5 m × 3 m and 2.5 m × 1 m

Area of living room = 19.5 + 2.5 = 22 m²