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# Architects design many types of buildings. They draw plans for houses, such as the plan shown in Fig. 9.68. An architect wants to install a decorative moulding around the ceilings in all the rooms. The decorative moulding costs 500/metre. The carpet costs ₹200/m². Find the cost of carpeting each room.

**Solution:**

The figure represents the plan for a house.

An architect wants to install decorative moulding around the ceilings in all the rooms.

The decorative moulding costs ₹500/metre.

The carpet costs ₹200/m².

We have to find the cost of carpeting each room.

(i) Living room

Length = 3.81 m

Breadth = 7.53 m

__Area of rectangle__ = length × breadth

Area = 3.81(7.53)

= 28.689 m²

Cost of carpeting 1 m² = ₹200

Cost of carpeting living room = 200(28.689)

= ₹5737.86

(ii) Dining room

Length = 5.41 m

Breadth = 5.48 m

Area of rectangle = length × breadth

Area = 5.41(5.48)

= 29.6468 m²

Cost of carpeting 1 m² = ₹200

Cost of carpeting dining room = 200(29.6468)

= ₹5929.36

(iii) Bed room 1

Side = 3.04 m

__Area of square__ = (side)²

Area = (3.04)²

= 9.242 m²

Cost of carpeting 1 m² = ₹200

Cost of carpeting bedroom 1= 200(9.242)

= ₹1848.32

(iv) Bed room 2

Length = 3.04 m

Breadth = 2.43 m

Area of rectangle = length × breadth

Area = 3.04(2.43)

= 7.387 m²

Cost of carpeting 1 m² = ₹200

Cost of carpeting bedroom 2 = 200(7.387)

= ₹1477.44

(v) Family room

Length = 4.57 m

Breadth = 5.48 m

Area of rectangle = length × breadth

Area = 4.57(5.48)

= 25.044 m²

Cost of carpeting 1 m² = ₹200

Cost of carpeting family room = 200(25.044)

= ₹5008.72

**✦ Try This: **A marble tile measure 12 cm×16 cm. How many tiles will be required to cover a wall of size 5m×4 m ? Also, find the total cost of the tiles at the rate of Rs 3 per tile.

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

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 126 (b)**

## Architects design many types of buildings. They draw plans for houses, such as the plan shown in Fig. 9.68. An architect wants to install a decorative moulding around the ceilings in all the rooms. The decorative moulding costs 500/metre. The carpet costs ₹200/m². Find the cost of carpeting each room.

**Summary:**

Architects design many types of buildings. They draw plans for houses, such as the plan shown in Fig. 9.68. An architect wants to install a decorative moulding around the ceilings in all the rooms. The decorative moulding costs 500/metre. The carpet costs ₹200/m². The cost of carpeting each room is, (i) Living room - ₹5737.86, (ii) Dining room is ₹5929.36, (iii) Bed room 1 is ₹1848.32, (iv) Bed room 2 is ₹1477.44, (v) Family room is ₹5008.72

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