https://file.aiquickdraw.com/mathbot/file/1730487339895drc565tk.jpg

To solve this problem, let's break it down into steps:

### Step 1: Calculate the Area of the Room
The room shape shown in the figure is an "L-shape," which can be split into two rectangles. Calculating the area of each rectangle separately and then summing them up will give us the total area of the room.

Let's denote:
- The **left rectangle** has dimensions $8 \text{ ft} \times 15 \text{ ft}$.
- The **bottom rectangle** has dimensions $14 \text{ ft} \times 22 \text{ ft}$.

1. **Area of the left rectangle**:
   \[
   \text{Area}_\text{left} = 8 \times 15 = 120 \text{ square feet}
   \]

2. **Area of the bottom rectangle**:
   \[
   \text{Area}_\text{bottom} = 14 \times 22 = 308 \text{ square feet}
   \]

3. **Total area of the room**:
   \[
   \text{Total Area} = \text{Area}_\text{left} + \text{Area}_\text{bottom} = 120 + 308 = 428 \text{ square feet}
   \]

### Step 2: Calculate the Total Cost of Flooring
The flooring costs $3.00 per square foot.

\[
\text{Total Cost} = 428 \times 3 = 1284 \text{ dollars}
\]

### Final Answer
- **Total area of the room**: 428 square feet
- **Total cost of flooring**: $1284

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

### Related Questions:
1. How would the cost change if the price per square foot increased to $4.00?
2. What if the room had a third section—how would we calculate the area?
3. Can we calculate the cost if only half the room was covered with flooring?
4. What would be the area if the dimensions of the bottom rectangle were 12 ft by 20 ft?
5. How would the total cost change if a discount of 10% was applied?

### Tip:
When dealing with complex shapes, try dividing them into simpler shapes, calculate each area separately, then sum them up.

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 $3.00 per square foot. Find the area of this room and the total cost of flooring.

Learn how to calculate the area and total flooring cost for an L-shaped room. Given dimensions, this problem involves dividing the room into two rectangles, calculating their areas, and then finding the total cost at $3.00 per square foot. Suitable for middle school students in Grades 6-8.

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