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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) Responses 122 ft2 122 ft2 132 ft2 132 ft2 22 ft2 22 ft2 32 ft2

1 answer

To determine the amount of wallpaper Katerina should purchase, we need to calculate the area of the wall and 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: \[ \text{Area of one window} = \text{height} \times \text{width} = 6 , \text{ft} \times 4 , \text{ft} = 24 , \text{ft}^2 \]

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

  4. Calculate the effective wallpaper area needed: \[ \text{Area to cover} = \text{Area of the wall} - \text{Area of windows} = 180 , \text{ft}^2 - 48 , \text{ft}^2 = 132 , \text{ft}^2 \]

So, Katerina should purchase 132 ft² of wallpaper.

The correct response is 132 ft².