A floor 9 metre long as 6 metre wide. a square carpet on side 4 metre is laid on the floor.Find the area of the floor that is not carpeted.
9 m x 6 m = 54 m^2
4 m x 4 m = 16 m^2
Length of floor = 9m.
To find the area of the floor that is not carpeted, we first need to find the area of the entire floor and then subtract the area of the carpet.
The area of the entire floor is given by the length multiplied by the width:
Area of floor = Length × Width
Area of floor = 9 metres × 6 metres
Area of floor = 54 square metres
The carpet is in the shape of a square with a side length of 4 metres. To find its area, we use the formula:
Area of square = Side length × Side length
Area of square = 4 metres × 4 metres
Area of square = 16 square metres
Now, to find the area of the floor that is not carpeted, we subtract the area of the carpet from the area of the entire floor:
Area not carpeted = Area of floor - Area of carpet
Area not carpeted = 54 square metres - 16 square metres
Area not carpeted = 38 square metres
Therefore, the area of the floor that is not carpeted is 38 square metres.