Step 1 :The perimeter of a rectangle is given by the formula \(2 \times (\text{length} + \text{width})\). We know the perimeter is 86 cm and the length is 25 cm.
Step 2 :We can set up the equation \(2 \times (25 + w) = 86\), where \(w\) is the width of the rectangle.
Step 3 :Solving this equation will give us the width of the rectangle.
Step 4 :Final Answer: The width of the rectangle is \(\boxed{18}\) cm.