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 length 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

228 ft2228 ft squared

48 ft248 ft squared

132 ft2132 ft squared

180 ft2180 ft squared

Answer 1

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

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

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

Therefore, Katerina should purchase 132 ft² of wallpaper.

The correct response is:

132 ft²