Question
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)
Responses
228 ft2
228 ft squared
132 ft2
132 ft squared
180 ft2
180 ft squared
48 ft2
48 ft squared
Responses
228 ft2
228 ft squared
132 ft2
132 ft squared
180 ft2
180 ft squared
48 ft2
48 ft squared
Answers
GPT-4o mini
To find out the amount of wallpaper Katerina needs to purchase, we first calculate the area of the wall and then subtract the area of the windows.
1. **Calculate the area of the wall:**
- Area of the wall = height × length
- Area of the wall = 10 ft × 18 ft = 180 ft²
2. **Calculate the area of the windows:**
- Area of one window = height × width
- Area of one window = 6 ft × 4 ft = 24 ft²
- Since there are two windows, we multiply by 2:
- Total area of the windows = 24 ft² × 2 = 48 ft²
3. **Calculate the area to be covered by wallpaper:**
- Area to cover = Area of the wall - Total area of the windows
- Area to cover = 180 ft² - 48 ft² = 132 ft²
Therefore, Katerina should purchase **132 ft²** of wallpaper.
The correct response is:
**132 ft²**
**132 ft squared**
1. **Calculate the area of the wall:**
- Area of the wall = height × length
- Area of the wall = 10 ft × 18 ft = 180 ft²
2. **Calculate the area of the windows:**
- Area of one window = height × width
- Area of one window = 6 ft × 4 ft = 24 ft²
- Since there are two windows, we multiply by 2:
- Total area of the windows = 24 ft² × 2 = 48 ft²
3. **Calculate the area to be covered by wallpaper:**
- Area to cover = Area of the wall - Total area of the windows
- Area to cover = 180 ft² - 48 ft² = 132 ft²
Therefore, Katerina should purchase **132 ft²** of wallpaper.
The correct response is:
**132 ft²**
**132 ft squared**
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