Final answer:
The length of the fence for each of the tomato, carrot, and cabbage gardens is approximately 22.608 feet, and the length of the fence for the strawberry garden is approximately 67.824 feet.
Step-by-step explanation:
The dimensions of the tomato, carrot, and cabbage gardens are equal, and the strawberry garden is larger. The strawberry garden uses the same amount of fencing as the other three gardens combined. Let's assume the length of the fence for the tomato, carrot, and cabbage gardens is 'x'. So, the length of the fence for the strawberry garden is '3x'. The total length of fencing material used is approximately 113.04 feet. We can set up the equation 'x + x + x + 3x = 113.04' to find the value of 'x'. Solving this equation, we get 'x = 22.608'. Therefore, the length of the fence for each of the tomato, carrot, and cabbage gardens is approximately 22.608 feet, and the length of the fence for the strawberry garden is approximately 67.824 feet.