Jackie Smith is remodeling the living room in her house. The dimensions of the room are 12 1/2 feet (length) by 14 1/3 feet (width). The cost of the new carpet is $15 per square foot. There is a $6 per square foot charge for the carpet padding, and a flat labor charge of $200. Using the formulas below, please find the total cost of installing the carpet. Be sure to show all your work!
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Area = Length x Width
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Total Cost = (Area x Carpet Cost) + (Area x Carpet Padding Cost) + $200