1. The problem asks for the area of Amanda's living room carpet, which is a rectangle with length 16 feet and width 13 feet. 2. The formula for the area $A$ of a rectangle is: $$A = \text{length} \times \text{width}$$ 3. Substitute the given values: $$A = 16 \times 13$$ 4. Multiply the numbers: $$A = 208$$ 5. Therefore, Carpet Solutions needs 208 square feet of carpet to replace the carpet in the entire living room. This is the total area in square feet.