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).
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