Final answer:
The width of the rectangle is approximately 5.88 feet and the length is approximately 17.65 feet.
Step-by-step explanation:
To find the dimensions of the rectangle, we can set up equations using the given information. Let's let w be the width of the rectangle. The length of the rectangle is 3 times the width, so the length can be represented as 3w. The area of the rectangle is given as 128 square feet, so we can set up the equation:
w(3w) = 128
3w^2 = 128
w^2 = 128/3
w ≈ √(128/3)
w ≈ 5.88 feet
Since the length is 3 times the width, the length is approximately 17.65 feet.
Therefore, the dimensions of the rectangle are approximately 5.88 feet by 17.65 feet.