Final answer:
The cost of installing a strip of wallpaper around the room is $2829.16.
Step-by-step explanation:
To find the cost of installing a strip of wallpaper around the room, we need to first calculate the perimeter of the room. The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width.
In this case, the length is 16 feet and the width is 12 feet, so the perimeter is 2(16 + 12) = 2(28) = 56 feet.
Next, we multiply the perimeter by the cost per foot of the wallpaper.
The cost per foot is $50.61, so the total cost is 56 feet * $50.61/foot = $2829.16.
Therefore, the cost of installing a strip of wallpaper around the room is $2829.16.