If the cost of carpeting a room is 
$
2.75
$2.75 per square foot, how much will it cost to carpet a rectangular floor that is 
6
6 feet by 
16
16 feet? 

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.

If the cost of carpeting a room is $2.75 per square foot, how much will it cost to carpet a rectangular floor that is 6 feet by 16 feet?

Find out how much it will cost to carpet a room that is 6 feet by 16 feet, with a carpeting rate of $2.75 per square foot. This solution includes a step-by-step approach to calculating area and multiplying it by the cost per unit area, ideal for students in Grades 5-7.

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