A carpet which measures 4m times 3m covers 60% of the floor area of a rectangular room.The length of the room is 5m .What is the width?
The floor area of the room is:
5m x w = 5w
Since the carpet covers 60% of the floor area, we can write:
0.6(5w) = 4m x 3m
Simplifying this equation:
3w = 8m
Dividing both sides by 3:
w = 8m/3
Therefore, the width of the room is approximately 2.67 meters.
2.67m
Yes, that is correct. The width of the room is approximately 2.67 meters.
To find the width of the rectangular room, we need to calculate the area covered by the carpet and then use that information to determine the width. Here is how we can do it:
1. Calculate the area covered by the carpet:
- Multiply the length and width of the carpet: 4m x 3m = 12 square meters.
- Since the carpet covers 60% of the floor area, multiply the area of the carpet by 0.6: 12 sqm x 0.6 = 7.2 square meters.
2. Determine the width of the room:
- Divide the total area of the room (covered by the carpet) by the length of the room: 7.2 sqm ÷ 5m = 1.44 meters.
Therefore, the width of the rectangular room is 1.44 meters.