Your question, as asked, can not be fully answered. The perimeter of an object is the sum of the measure of its sides. If we are to presume that the rug is a square or a rectangle, it can have numerous dimensions. It could be 8 ft. X 8 ft. (8+8+8+8=32); or 1 ft. X 15 Ft. (1+1+15+15=32); or 2 ft. X 14 ft.; or 3 ft. X 13 ft.; or 4 ft. X 12 ft.; or 5 ft. X 11 ft.; or 6 ft. X 10 ft.; or 7 ft. X 9 ft.

If the rug is a circle or an oval, it becomes a completely different story....

If the rug is a circle or an oval, it becomes a completely different story....