Final answer:
The problem is to find the perimeter of a rectangle given that the length is 3 units shorter than one-third of its width (x). But the actual formula derived doesn't match any of the choices provided.
Step-by-step explanation:
To find the perimeter of the rectangle, we need to sum up all its sides. The formula for the perimeter of a rectangle is P = 2(length + width).
Given that the length of the rectangle is 3 units shorter than one-third of the width (x), we can express the length as (1/3)x - 3.
Therefore, the perimeter becomes P = 2 [((1/3)x -3) + x], which after simplification, equals P = 8/3x - 6.
Please note that this doesn't match any of the options provided. There may be a mistake in the problem or the answer choices. If you want to solve for the width given the perimeter, you would use the formula to solve for x.
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