Question

bailey is painting her living room. she wants to paint the walls and the ceiling. the height of the walls is \\(9\text{ ft}\\) high. the room is \\(10\text{ ft}\\) by \\(13\text{ ft}\\).
determine the total area of the room that will be painted:
hint: use the formula sheet to determine the formula(s) needed to solve the problem.

\\(\text{ft}^2\\) of the room will be painted.

Explanation:

⚡ Using what you learned: area formulas for rectangles and squares

Step 1: Identify the surfaces to paint

The surfaces to be painted are the four walls and the ceiling.

• Ceiling dimensions: \(10\text{ ft} \times 13\text{ ft}\)
• Two walls (front/back): \(10\text{ ft} \times 9\text{ ft}\) each
• Two walls (sides): \(13\text{ ft} \times 9\text{ ft}\) each

Step 2: Calculate the area of each surface

• Ceiling Area:

$$ 10 \times 13 = 130\text{ ft}^2 $$

• Area of the first pair of walls:

$$ 2 \times (10 \times 9) = 180\text{ ft}^2 $$

• Area of the second pair of walls:

$$ 2 \times (13 \times 9) = 234\text{ ft}^2 $$

Step 3: Sum the areas

$$ 130 + 180 + 234 = 544\text{ ft}^2 $$

Answer:

544