45.7k views
3 votes
You have decided to wallpaper your rectangular bedroom. The dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inches high. The room has two windows, each 4 feet by 3 feet and a door 7 feet by 3 feet. Determine how many rolls of wallpaper are needed to cover the walls, allowing 10% for waste and matching. Each roll of wallpaper is 30 inches wide and 30 feet long. How many rolls of wallpaper should be purchased?

User Bjornte
by
7.4k points

1 Answer

4 votes
First calculate how much wallpaper is needed:
add: 2 walls of 12.5 ft length x 8 ft high = 200 ft²
add: 2 walls of 10.5 ft length x 8 ft high = 168 ft²
subtract: 2 windows of 4 ft length x 3 ft high = 24 ft²
subtract: 1 door of 3 ft length x 7 ft high = 21 ft²
Wallpaper needed: 200 + 168 - 24 - 21 = 323 ft²
Add 10% for waste and matching: 323 + 323(10%) = 355.3 ft²

Next, calculate the amount of wallpaper in one roll:
0.5 ft wide x 30 ft length = 15 ft²

Lastly, calculate how many rolls are needed:
355.3 ÷ 15 = 23.7
Since you can only purchase an entire roll (and not a fraction of it),
round the answer up to the nearest whole roll.

Anser: 24 rolls of wallpaper should be purchased.
User Prashant G
by
7.7k points