To find the total cost of carpeting the floor, we need to calculate the area of the floor and then multiply it by the cost per square foot.

Step-by-Step Solution

1. Calculate the Area: $\text{Area} = \text{length} \times \text{width} = 16 \text{ feet} \times 14 \text{ feet} = 224 \text{ square feet}$

2. Calculate the Cost: The cost per square foot is $12, so: $\text{Total Cost} = \text{Area} \times \text{Cost per square foot} = 224 \times 12 = 2688$

Answer

The total cost to carpet the floor is $2688.

Would you like more details on this solution, or do you have any other questions?

Here are some related questions:

1. How would the cost change if the price per square foot increased to $15?
2. What would be the cost if only half of the floor was covered with carpet?
3. How is area calculated for other shapes, such as circles or triangles?
4. What if the room had an extra section? How would you add that area?
5. How would a discount of 10% on the carpet price per square foot affect the total cost?

Tip: When dealing with areas and costs, always double-check measurements to avoid calculation errors.