Katerina is purchasing wallpaper to cover one wall in her bedroom. The wall is rectangular in shape, with a height of 10 ft. and a lenght of 18 ft. The wall contains two rectangular windows that are 6 ft. by 4 ft each. Determine the amount of wallpaper that Katerina should purchase to cover the wall. (1 point)

Question

Responses

122 ft2
2
122 ft2

22 ft2
2
22 ft2

132 ft2
2
132 ft2

32 ft2

Answer 1

To calculate the amount of wallpaper Katerina needs to cover the wall, we can follow these steps:

1. Calculate the area of the wall: \[ \text{Area of the wall} = \text{height} \times \text{length} = 10 \text{ ft} \times 18 \text{ ft} = 180 \text{ ft}^2 \]

2. Calculate the area of the windows: Each window has dimensions of 6 ft by 4 ft: \[ \text{Area of one window} = 6 \text{ ft} \times 4 \text{ ft} = 24 \text{ ft}^2 \] Since there are two windows: \[ \text{Total area of windows} = 2 \times 24 \text{ ft}^2 = 48 \text{ ft}^2 \]

3. Calculate the area to be covered by wallpaper: \[ \text{Area to be covered} = \text{Area of the wall} - \text{Total area of windows} \] \[ \text{Area to be covered} = 180 \text{ ft}^2 - 48 \text{ ft}^2 = 132 \text{ ft}^2 \]

Therefore, Katerina should purchase 132 ft² of wallpaper to cover the wall. The correct response is:

132 ft²