To find the area of the ceiling, we need to use the formula for the area of a rectangle:

$\text{Area} = \text{length} \times \text{width}$

From the image, the length of the room is 12 feet, and the width is 10 feet. So, the area of the ceiling is:

$\text{Area} = 12 \, \text{ft} \times 10 \, \text{ft} = 120 \, \text{sq ft}$

Thus, the area of the ceiling is 120 square feet.

Would you like to calculate the total surface area for painting or need help with another question?

Here are some follow-up questions you might be interested in:

1. How do you calculate the area of the walls of the room?
2. What is the total surface area of the four walls in the room?
3. How much paint would be needed if one gallon covers 350 square feet?
4. How would the area of the room change if the height were increased to 10 feet?
5. How would you calculate the total cost of painting the room if the cost per square foot is known?

Tip: Always double-check the dimensions provided to ensure correct calculations when working with areas.