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
180 ft2
180 ft squared
48 ft2
48 ft squared
132 ft2
132 ft squared
228 ft2
Responses
180 ft2
180 ft squared
48 ft2
48 ft squared
132 ft2
132 ft squared
228 ft2
Answers
GPT-4o mini
To determine the amount of wallpaper Katerina should purchase, we first calculate the area of the wall and then subtract the area of the windows.
1. **Calculate the area of the wall:**
- Height = 10 ft
- Length = 18 ft
- Area of the wall = Height × Length = 10 ft × 18 ft = 180 ft²
2. **Calculate the area of the windows:**
- Each window dimensions = 6 ft × 4 ft
- Area of one window = 6 ft × 4 ft = 24 ft²
- There are 2 windows, so the total area of the windows = 24 ft² × 2 = 48 ft²
3. **Calculate the area to be covered with wallpaper:**
- Area to cover = Area of the wall - Area of the windows = 180 ft² - 48 ft² = 132 ft²
Thus, Katerina should purchase **132 ft²** of wallpaper.
The correct answer is **132 ft²**.
1. **Calculate the area of the wall:**
- Height = 10 ft
- Length = 18 ft
- Area of the wall = Height × Length = 10 ft × 18 ft = 180 ft²
2. **Calculate the area of the windows:**
- Each window dimensions = 6 ft × 4 ft
- Area of one window = 6 ft × 4 ft = 24 ft²
- There are 2 windows, so the total area of the windows = 24 ft² × 2 = 48 ft²
3. **Calculate the area to be covered with wallpaper:**
- Area to cover = Area of the wall - Area of the windows = 180 ft² - 48 ft² = 132 ft²
Thus, Katerina should purchase **132 ft²** of wallpaper.
The correct answer is **132 ft²**.
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