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Question

A man is in talks with a painter. He wants to two of his walls painted. The cost of painting is Rs10 per cm2.How much money is required by him to paint a rectangular wall of length 400 cm and breadth 900 cm and a circular wall of diameter 126 cm? [4 MARKS]

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Solution

Formula: [1 Mark]
Steps: [2 Marks]
Answer: [1 Mark]

Given that
The cost of painting is Rs10 per
cm2.
The length of the rectangular wall=400 cm
The breadth of the rectangular wall=900 cm

Area of the rectangle = length
× breadth
On substituting the values we get

Area of the rectangle = (400) × (900)

= 360000 cm2

Money required to paint the rectangular wall = (10) × (360000)

= Rs.3600000

The diameter of the circular wall= 126 cm.
Radius of the wall, r=1262= 63 cm
The area a circle is given by, Area=π×r2
On substituting the values we get
Area of the circular wall=227×63×63=12474 (cm^2\)
Money required to paint the circular wall=12474×10=Rs 124740

The total cost of painting=3600000+124740 = Rs 3724740
Hence, the total cost of painting the walls is Rs 37,24,740.


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