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

22 ft222 ft2

32 ft232 ft2

132 ft2132 ft2

122 ft2

Answer 1

To determine the amount of wallpaper Katerina should purchase, we need to calculate the total area of the wall and then subtract the area of the windows.

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 one window: \[ \text{Area of one window} = \text{height} \times \text{width} = 4 , \text{ft} \times 6 , \text{ft} = 24 , \text{ft}^2 \]

3. Calculate the total area of the two windows: \[ \text{Total area of windows} = 2 \times 24 , \text{ft}^2 = 48 , \text{ft}^2 \]

4. Subtract the area of the windows from the area of the wall: \[ \text{Area to cover with wallpaper} = \text{Area of the wall} - \text{Total area of windows} = 180 , \text{ft}^2 - 48 , \text{ft}^2 = 132 , \text{ft}^2 \]

Therefore, Katerina should purchase 132 ft² of wallpaper.

The correct response is: 132 ft².