Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.
The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w)
In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:
P = 2(l + w) = 2(12 + 10) = 44.
44 feet will be needed to go all the way around the room.
More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198