Matt wants to put up a wallpaper boarder for the perimeter of a 12 ft by 15 ft room. The border comes in 6 yd rolls. How many rolls would be needed?
To calculate the number of rolls needed, we need to determine the total length of the perimeter that requires wallpaper border.
First, let's find the perimeter of the room. To do that, we will add up all the sides:
Perimeter = 2 * (length + width)
Given:
Length of the room = 12 ft
Width of the room = 15 ft
Perimeter = 2 * (12 ft + 15 ft)
Perimeter = 2 * (27 ft)
Perimeter = 54 ft
Now, let's convert the perimeter from feet to yards because the border comes in 6 yd rolls. Since there are 3 ft in 1 yard, we divide the perimeter by 3:
Perimeter in yards = (54 ft) / (3 ft/yd)
Perimeter in yards ≈ 18 yd
Since each roll of the border is 6 yd, we can find the number of rolls needed by dividing the perimeter in yards by the length of each roll:
Number of rolls needed = (Perimeter in yards) / (Length of each roll)
Number of rolls needed = 18 yd / 6 yd
Number of rolls needed = 3 rolls
Therefore, Matt will need 3 rolls of the wallpaper border to cover the perimeter of the room.
the perimeter is 2(12+15) = 60 ft
6 yds = 18 ft per roll
so, 4 rolls would be 72 ft