The rug is in the shape of a square, and each side measures 18 feet. We are asked to find the perimeter of the rug.
The perimeter \( P \) of a square is given by: \[ P = 4 \times \text{side length} \]
The side length is 18 feet, so: \[ P = 4 \times 18 \]
\[ P = 72 \]
The perimeter of the rug is \(\boxed{72}\) feet.
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