Study the layout given below in Fig. 9.58 and answer the question: If the cost of tiling is ₹ 30/m², write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.
Solution:
Given, the layout represents two bedrooms, bathroom, kitchen and living room.
The cost of tiling is 30/m².
We have to write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.
We observe that the bathroom and the kitchen are in rectangular shape.
Area of rectangle = length × breadth
Considering bathroom,
Length = 2 m
Breadth = 5 m
Area of bathroom = 2 × 5 = 10 m²
Considering kitchen,
Length = 15 - (x + 2) m
Breadth = 5 m
Aea of kitchen = [15 - (x + 2)] × 5
= 15(5) - 5(x + 2)
= 75 - 5x - 10
= 65 - 5x m²
Total area covered by the bathroom and kitchen = area of bathroom + area of kitchen
= 10 + 65 - 5x
= 75 - 5x m²
Given, cost of tiling 1 m² = ₹30
Cost of tiling (75 - 5x) m² = 30 × (75 - 5x)
= 30(75) - 30(5x)
= 2250 - 150x
= 150(15 - x)
Therefore, the total cost of tiling is ₹150(15 - x).
✦ 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. Calculate the perimeter of the shaded shape.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 113 (d)
Study the layout given below in Fig. 9.58 and answer the question: If the cost of tiling is ₹ 30/m², write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.
Summary:
An expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors is ₹150(15 - x).
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