Answer: The area of the floor can be found by multiplying the width and the length.
Area of the floor = (6x - 9)(6x + 9) = 36x^2 - 63x - 81
The area of each tile can be found by evaluating the expression 24x^2 - 12x - 36.
Area of each tile = 24x^2 - 12x - 36
To find out how many tiles are needed to cover the floor we need to divide the area of the floor by the area of each tile.
Number of tiles needed = (36x^2 - 63x - 81) / (24x^2 - 12x - 36)
The division is simplified by canceling out common factors between the numerator and denominator, the number of tiles is a fraction that can't be simplified any further.
So the answer is (36x^2 - 63x - 81) / (24x^2 - 12x - 36) tiles are needed to cover the floor.
Explanation: