You need to paint the side walls of your bedroom. If the room is 12 feet by 14 feet, and it has a ceiling 10 feet high. What is the area you need to paint? *Hint: Don't forget to use your Desmos calculator and STAAR Reference Sheet to help! (1 point) ft.2

Answer 1

To calculate the area of the side walls that need to be painted, we will first find the perimeter of the walls and then multiply by the height of the ceiling.

1. Find the perimeter of the room: The room has two lengths (12 feet each) and two widths (14 feet each).

   \[ \text{Perimeter} = 2 \times \text{length} + 2 \times \text{width} \] \[ \text{Perimeter} = 2 \times 12 \text{ ft} + 2 \times 14 \text{ ft} = 24 \text{ ft} + 28 \text{ ft} = 52 \text{ ft} \]

2. Multiply the perimeter by the height of the ceiling: \[ \text{Area of walls} = \text{Perimeter} \times \text{Height} \] \[ \text{Area of walls} = 52 \text{ ft} \times 10 \text{ ft} = 520 \text{ ft}^2 \]

So, the area you need to paint is \( \boxed{520} \) ft².