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

180 ft2
180 ft squared

48 ft2
48 ft squared

132 ft2
132 ft squared

228 ft2

Answer 1

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.