To calculate the area of the side walls that need to be painted in a room, you first need to determine the total perimeter of the room's walls and then multiply by the height of the walls.
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Calculate the perimeter of the room:
- The room has two pairs of walls: two walls that are 12 feet long and two walls that are 14 feet long.
- Perimeter (P) = 2(length + width)
\[ P = 2(12 \text{ ft} + 14 \text{ ft}) = 2(26 \text{ ft}) = 52 \text{ ft} \]
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Calculate the area of the walls:
- The height of the ceiling is 10 feet.
- The area (A) of the walls is given by multiplying the perimeter by the height of the room:
\[ A = \text{Perimeter} \times \text{Height} = 52 \text{ ft} \times 10 \text{ ft} = 520 \text{ ft}^2 \]
Therefore, the area you need to paint is 520 square feet.