To find the cost of carpeting the room, you first need to calculate the area of the rectangular floor in square feet, then multiply that by the cost per square foot.

Step 1: Calculate the area

The area $A$ of a rectangle is given by: $A = \text{length} \times \text{width}$ Here, the length is 16 feet and the width is 6 feet: $A = 16 \times 6 = 96 \, \text{square feet}$

Step 2: Calculate the total cost

The cost to carpet is $2.75 per square foot, so the total cost $C$ is: $C = \text{area} \times \text{cost per square foot}$ $C = 96 \times 2.75 = 264 \, \text{dollars}$

Therefore, the total cost to carpet the room is $264.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the cost to carpet a room with different dimensions, say 10 feet by 15 feet?
2. How much would the cost be if the price per square foot increased to $3.50?
3. How do you calculate the area of a room with an irregular shape?
4. What if only half of the room needed carpeting—how would the cost change?
5. How would you calculate the cost of carpeting multiple rooms?

Tip: Always ensure to measure the dimensions accurately to avoid miscalculating material costs.