Discussion
Shyam’s room has dimensions 6m x 5m x 4m. The room also has a door of dimension 2.5m x 1.2m and a window of dimensions 1m x 1m. What will be cost of painting the four walls of his room if rate of painting is Rs. 2 per sq.m.?
Answer: D
Only the four walls are painted, and the door and window are not.
\[ \text{four walls} = 2(l + b)h = 2(6 + 5) \times 4 = 88 \text{ m}^{2} \]
\[ \text{door} = 2.5 \times 1.2 = 3 \text{ m}^{2}, \qquad \text{window} = 1 \times 1 = 1 \text{ m}^{2} \]
\[ \text{paintable area} = 88 - 3 - 1 = 84 \text{ m}^{2} \]
\[ \text{cost} = 84 \times 2 = \text{Rs. } 168 \]
Rs. 84 is the area mistaken for the cost, and Rs. 176 would come from forgetting to deduct the openings.
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