Final answer:
The area of the floor is 2xy3 square feet.
Step-by-step explanation:
The formula is derived from the fact that a square has all four sides of equal length, and the area is simply the product of the length and width. Since all sides are of equal length in a square, you can express the area as the square of one side.
To find the area of the floor, we need to use the side lengths of the square. The problem states that the side lengths are x and 2y3. Therefore, the area of the square can be found by multiplying these two side lengths: (x)(2y3) = 2xy3 square feet.