Step 1 :Given a rectangular room with width \(12 \frac{1}{2}\) feet and length 14 feet.
Step 2 :The formula for the perimeter of a rectangle is \(2 \times (\text{length} + \text{width})\).
Step 3 :Substitute the given values into the formula: \(2 \times (14 + 12.5)\).
Step 4 :Calculate the expression to get the perimeter: 53 feet.
Step 5 :So, the perimeter of the room is \(\boxed{53}\) feet.