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# Study the layout given below in Fig. 9.58 and answer the question: If the cost of carpeting is ₹ 50/m², write an expression for calculating the total cost of carpeting both the bedrooms and the living room.

**Solution:**

Given, the layout represents two bedrooms, bathroom, kitchen and living room.

The cost of carpeting is 50/m².

We have to write an expression for calculating the total cost of carpeting for both the bedrooms and the living room.

We observe that bedroom 1 and bedroom 2 along with the living room are in rectangular shape.

Considering bedroom 1,

Length = x m

Breadth = 5 m

Area of bedroom 1 = x × 5 = 5x m²

Considering bedroom 2 and living room,

Length = 15 m

Breadth = 5 + 2 = 7 m

__Area__ = 15(7)

= 105 m²

Total area covered by two bedrooms and living room = area of bedroom 1 + combined area of bedroom 2 and living room

= 5x + 105 m²

Given, cost of carpeting 1 m² = ₹50

Cost of carpeting (5x + 105) m² = 50 × (5x + 105)

= 50(5x) + 50(105)

= 250x + 5250

= 250(x + 21)

Therefore, the cost of carpeting is ₹ 250(x + 21).

**✦ Try This: **The diagram shows a shaded shape formed by three semi-circular arcs. The radius of each semi-circle is shown in the diagram. The shaded shape is made from metal 1.6 mm thick. Calculate the volume of metal used to make this shape.

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

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 113 (c)**

## Study the layout given below in Fig. 9.58 and answer the question: If the cost of carpeting is ₹ 50/m², write an expression for calculating the total cost of carpeting both the bedrooms and the living room

**Summary:**

An expression for calculating the total cost of carpeting both the bedrooms and the living room is ₹ 250(x + 21).

**☛ Related Questions:**

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