Luke plans to purchase flooring for the main room of his new home. The layout of this room is shown in the figure. The flooring he plans to purchase is $3.50
 per square foot. Find the area of this room and the total cost of flooring.
 
21 ft
11 ft
8 ft
11 f

To solve this, we first need to calculate the area of the room based on the given dimensions and then determine the cost of flooring.

Given the dimensions, it seems like the room could be composed of two rectangular sections. However, without a diagram, I'll assume it can be divided into two parts: a large rectangle and a smaller rectangle.

1. The **large rectangle**:
   - Dimensions: 21 ft by 11 ft
   - Area = $ 21 \, \text{ft} \times 11 \, \text{ft} = 231 \, \text{square feet} $

2. The **smaller rectangle**:
   - Dimensions: 8 ft by 11 ft
   - Area = $ 8 \, \text{ft} \times 11 \, \text{ft} = 88 \, \text{square feet} $

Now, we add the areas of the two rectangles to get the total area of the room:
\[
\text{Total Area} = 231 \, \text{square feet} + 88 \, \text{square feet} = 319 \, \text{square feet}
\]

### Total cost of the flooring:
The cost per square foot is $3.50. Therefore, the total cost is:
\[
\text{Total Cost} = 319 \, \text{square feet} \times 3.50 \, \text{\$ per square foot} = 1116.50 \, \text{\$}
\]

### Summary:
- The area of the room is **319 square feet**.
- The total cost of flooring is **\$1116.50**.

Would you like more details, or do you have any questions?

Here are five related questions:
1. What if the flooring cost increased to \$4.00 per square foot?
2. How would the total cost change if the room had a carpet instead, priced at \$5 per square foot?
3. What is the perimeter of the entire room for calculating baseboard length?
4. How many tiles, each 1 square foot in size, would be needed to cover the room?
5. What would be the cost if only 90% of the room was to be floored?

**Tip:** When calculating areas of irregular rooms, dividing the space into simpler shapes (like rectangles) often makes the problem easier to solve.

Luke plans to purchase flooring for the main room of his new home. The layout of this room is shown in the figure. The flooring he plans to purchase is $3.50 per square foot. Find the area of this room and the total cost of flooring.

Learn how to calculate the total area and cost of flooring for a room using the dimensions provided. This problem covers geometry concepts like the area of rectangles and includes a step-by-step cost calculation based on $3.50 per square foot. Suitable for Grades 5-7.

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