Answer: The area of the floor of the hall is approximately 599.2448 square meters.
Step-by-step explanation: Let's assume the breadth of the hall be x meters. Then, the length of the hall will be 2x meters and the height will be 3x meters.
The volume of the hall can be found as follows:
Volume = Length × Breadth × Height
36000 = 2x × x × 3x
36000 = 6x³
x³ = 6000
x = ∛6000 ≈ 17.32 meters
Therefore, the breadth is approximately 17.32 meters, the length is 2 × 17.32 = 34.64 meters, and the height is 3 × 17.32 = 51.96 meters.
The area of the floor can be found by multiplying the length and breadth:
Area = Length × Breadth
Area = 34.64 × 17.32
Area = 599.2448 m²
Therefore, the area of the floor of the hall is approximately 599.2448 square meters.