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 ft.2
180 ft. squared

48 ft.2
48 ft. squared

132 ft.2
132 ft. squared

228 ft.2
228 ft. squared

Answer 1

To determine the amount of wallpaper Katerina should 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:

   • Height of the wall = 10 ft
   • Length of the wall = 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
   • Since there are two windows, the total area of the windows = 2 × 24 ft² = 48 ft²

3. Calculate the area to be covered with wallpaper:

   • Area to cover = Area of the wall - Total area of the windows = 180 ft² - 48 ft² = 132 ft²

Katerina should purchase 132 ft.² of wallpaper to cover the wall.

Thus, the correct response is: 132 ft.².