Final answer:
Sally will need to buy 52 inches of fringe, which is approximately 4.33 feet.
Step-by-step explanation:
To find the amount of fringe Sally will need to buy, we first need to determine the length of each edge of the square place mat. Since the place mat is a square, all four edges will have the same length. To find this length, we need to take the square root of the area. The square root of 169 is 13, so each edge of the place mat is 13 inches long.
To calculate the amount of fringe needed, we need to find the perimeter of the place mat. Since all four edges are the same length, we can multiply the length of one edge by 4. So the perimeter of the place mat is 13 inches x 4 = 52 inches of fringe.
To convert to feet, we can divide the inches by 12, since there are 12 inches in a foot. 52 inches / 12 = 4.33 feet of fringe.