A room is 7.8 m long and 6.5 m wide. Aliza wants to carpet 2.3 m wide all round inside the room. Find the area of the carpeting part of the room?
- 48.36 m^2
- 45.75 m^2
- 44.62 m^2
- None of these
Explanation
To find the area of the carpeting part, we need to find the area of the inner rectangle (without carpet) and subtract it from the total area.
Length of inner rectangle = 7.8 - 22.3 = 3.2 m
Width of inner rectangle = 6.5 - 22.3 = 1.9 m
Area of the room = 7.8 * 6.5 = 50.7 m^2
Area of inner rectangle = 3.2 * 1.9 = 6.08 m^2
Area of carpet = Total area - Inner area
= 50.7 - 6.08
= 44.62 m^2
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