Step 1 :A rectangle has a perimeter of 66 cm. If the width is 14 cm, we are asked to find the length.
Step 2 :The perimeter of a rectangle is given by the formula \(2*(length + width)\). We can rearrange this formula to solve for the length: \(length = (perimeter/2) - width\).
Step 3 :Substituting the given values into the formula, we get \(length = (66/2) - 14\).
Step 4 :Solving the equation, we find that the length is 19 cm.
Step 5 :Final Answer: The length of the rectangle is \(\boxed{19 \mathrm{~cm}}\).