A painter charges $3.25 per square foot to paint a room. If the room measures 12 1/2 feet by 15 feet, how much will the customer owe the painter?

To calculate how much the customer will owe the painter, follow these steps:

1. **Calculate the area of the room**:
   The dimensions of the room are $ 12 \frac{1}{2} $ feet by 15 feet. First, convert $ 12 \frac{1}{2} $ to an improper fraction or decimal:
   \[
   12 \frac{1}{2} = 12.5 \text{ feet}.
   \]
   Now, multiply the two dimensions to find the area:
   \[
   \text{Area} = 12.5 \times 15 = 187.5 \text{ square feet}.
   \]

2. **Calculate the total cost**:
   The painter charges $3.25 per square foot. To find the total cost, multiply the area by the rate:
   \[
   \text{Total cost} = 187.5 \times 3.25 = 609.375.
   \]

3. **Final amount**:
   The customer will owe the painter **$609.38** (rounded to two decimal places).

Would you like further details or explanations on any part?

Here are 5 related questions to expand your understanding:
1. How would the cost change if the painter charged $4.00 per square foot?
2. What if the dimensions of the room were in meters instead of feet?
3. How much would the painter charge for a room with a triangular shape?
4. What would the cost be if the room had two walls not being painted?
5. How do material costs affect the overall painting fee?

**Tip**: Always convert mixed numbers to decimals or improper fractions for easier multiplication.

Learn how to calculate the total cost of painting a room measuring 12.5 by 15 feet at a rate of $3.25 per square foot. This step-by-step solution covers area calculation, multiplication, and cost estimation. Suitable for students in Grades 5-7.

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