Answer:
17
Explanation:
Given parameters:
Dimension of the wallpaper = 8yards and 12 inches
Dimension of the room = 13.2ft by 17.7ft by 10ft
Area of the windows and doors = 138ft²
Unknown:
Number of rolls of wallpaper needed = ?
Solution:
Let us find the surface area of the room first;
The room is a shape of cuboid;
Surface area of cuboid = 2(LW + LH + WH)
Surface area = 2(13.2x17.7 + 13.2 x 10 + 17.7 x 10) = 542.64ft²
Area of each wall paper;
Convert the sides to ft;
1 yard = 3 foot
8 yard = 8 x 3 = 24ft
Also, 12inches to ft;
1inch = 0.083ft
12inches = 12 x 0.083 = 0.996ft
Area of each wall paper = 24 x 0.996 = 23.9ft²
Now, let us remove the area of the windows and doors from that of the room;
Remaining area = 542.64ft² - 138ft² = 404.64ft²
Number of rolls of wallpaper = [tex]\frac{404.64}{23.9}[/tex] = 17
