Final answer:
The width of the rectangle is approximately 5.2 units, and the length is approximately 10.4 units.
Step-by-step explanation:
The length of the rectangle is twice the width, so let's call the width 'x'. This means the length is '2x'. We are given that the area of the rectangle is 54 square units, so we can set up the equation:
x * (2x) = 54
Now, let's solve for 'x'.
2x^2 = 54
x^2 = 27
x = √27 ≈ 5.2
So, the width of the rectangle is approximately 5.2 units. Since the length is twice the width, the length is approximately 10.4 units.