Question

How many rolls of wallpaper each 8 Yards long and 12 inches wide, will paper the sides of a room 13.2 feet by 17.7 feet and 10 feet high, deducting 138 ft^2 for doors and windows?

Answer 1

17

Step-by-step 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 =
`(404.64)/(23.9)` = 17