The floor is 5m long and 4m wide. A square carpet is laid on the floor. ____ is the area of the floor that is not carpeted.

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Detailed Solution

According to the given information, we have a floor 5 m long and 4 m wide, so we can say that the shape of the floor is rectangular, it is also given that a square-shaped carpet with a side of 3 m
The given dimensions are therefore the length of the floor is 5m, the width of the floor is 4m
Now use the formula for the area of a rectangle ie

to find the area of the floor
By substituting the values in the above formula, we get,
Floor area =

Now we find the area of the carpet using the area of a square formula, i.e.

It is also given that the side of the carpet is 3 m
Now by substituting the values in the above formula we get
Carpet area =

To find an area of the floor that is not carpeted,
We subtract the area of the floor from the area of the carpet
Now the area that is not covered by the carpet =

The area of the floor that is not covered by the carpet is therefore equal to

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