The question says that the length of the floor of a room is 'y' meters.
Its width is 5 meters shorter than the length,
If the width is 5 meters shorter than the actual width should be:
meters
Now the room is in the shape of a rectangle, so we will use the formula of the perimeter of a rectangle:
Perimeter =
The length of the floor is 'y' meters
The width of the floor is 'y-5' meters
Plugging the values of length and width we get,
Question says that the perimeter of the rectangle is meters.
So,
We will solve for 'y'.
Since,
The system of equation seems to have no solution.
Hence, no such floor exists.