[tex] \frac{3}{4} [/tex] of the floor space is covered. This means the floor space which is not covered will be [tex] \frac{1}{4} [/tex] of the total floor space. First we need to find out the total floor space.
The length and width of the floor are given to be 800 feet and 200 feet respectively. Since the length and width are not equal, we can conclude that the floor is rectangular in shape and Area of a rectangle is the product of its length and width.
So, Floor Space = Floor Area = Length x Width
Floor Space = 800 x 200
Floor Space = 160,000 square feet
Proportion of the Floor space which is not covered = [tex] \frac{1}{4} [/tex]
Therefore, the amount of floor space which is not covered will be:
[tex] \frac{1}{4}*160000\\ \\
=40000 [/tex]
Thus we can conclude that 40,000 square feet of the floor space is not covered.
