The cost of carpet stretching in Rapid City can be determined by the difficulty of the task and the tools needed. Professional carpet stretching in Rapid City that utilizes power stretchers can cost around $.30 to $.50 per square foot. It may cost more if there are a lot of home furnishings that must be removed from the place. Some professionals may charge an hourly fee amounting to $60 to $80. All in all, you may expect a call out fee amounting to $100 up to $406.