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 ft2
228 ft squared

132 ft2
132 ft squared

180 ft2
180 ft squared

48 ft2
48 ft squared

Answer 1

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