Let's denote the width of the container as "w".
According to the given information, the length of the container is four times its width. Therefore, the length would be 4w.
The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the volume is given as 200 cubic feet.
So we have the equation: Volume = length * width * height
200 = (4w) * w * 2
Simplifying the equation:
200 = 8w^2
Dividing both sides of the equation by 8:
25 = w^2
Taking the square root of both sides:
w = ±√25
Since width cannot be negative, we take the positive square root:
w = 5
Therefore, the width of the container is 5 feet.
Now, we can find the length by multiplying the width by 4:
Length = 4w = 4 * 5 = 20 feet
So, the length of the container is 20 feet.
In summary, the width of the container is 5 feet and the length is 20 feet.
