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1. A room 5m x 8m is to be carpeted leaving a margin of 10 cm from each wall. If the cost of the carpet is Tk. 18 per sq. meter, the cost of carpeting the room will be:
- A. Tk. 673.92
- B. Tk. 673.92
- C. Tk. 673.92
- D. Tk. 673.92
Answer: Option A
Explanation:
The room dimensions are 5m x 8m. However, you need to leave a margin of 10 cm from each wall, which is equivalent to 0.1m. So, the effective dimensions for carpeting are (5m - 2 * 0.1m) x (8m - 2 * 0.1m).
Effective length = 5m - 2 * 0.1m = 4.8m Effective width = 8m - 2 * 0.1m = 7.8m
Now, calculate the area of the room to be carpeted:
Area = Effective length * Effective width Area = 4.8m * 7.8m = 37.44 sq. meters
Now, you know that the cost of the carpet is Tk. 18 per square meter. You can calculate the total cost:
Total Cost = Area * Cost per sq. meter Total Cost = 37.44 sq. meters * Tk. 18/sq. meter
Total Cost = Tk. 673.92
So, the cost of carpeting the room will be Tk. 673.92.
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