Final answer:
The length of the rectangle is 17 feet and the width is 34 feet.
Step-by-step explanation:
To find the dimensions of the rectangle, we can set up the equation 2x + 2(2x) = 102, where x represents the length.
Simplifying this equation gives us 6x = 102, and dividing both sides by 6 gives us x = 17.
Therefore, the length of the rectangle is 17 feet and the width is 2(17) = 34 feet.