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The dimensions of a room are 14 m x 10 m x 6.5 m. There are two doors and 4 windows in the room. Each door measures 2.5 m x 1.2 m and each window measures 1.5 x 1 m. Find the cost of painting the four walls of the room at ₹35 per m2. |
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Answer» Dimensions of wall: Length = 14 m Breadth = 10 m Height = 6.5 m Dimensions of windows Length = 1.5 m Breadth = 1 m And, Length of doors = 2.5 m Breadth of doors = 1.2 m Cost = ₹35 per m2 Now, Area of four walls = 2(Length of walls × Height of walls) + 2(Breadth of walls × Height of walls) = 2(14 × 6.5) + 2(10 × 6.5) = 182 + 130 = 312 ⇨ Area of four walls is 312 m2 Area of two doors = 2(Length of doors × Breadth of doors) = 2(2.5 × 1.2) = 6 ⇨ Area of two doors is 6 m2 Area of four windows = 4(Length of windows × Breadth of windows) = 4(1.5 × 1) = 6 ⇨ Area of four windows is 6 m2 Therefore, Area to be painted = Area of 4 walls – (Area of 2 doors + Area of 4 windows) = 312 – (6+ 6) = 300 ⇨ Area to be painted is 300 m2 Cost of painting = 300 m2 × ₹ 35 per m2 =₹10500 |
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