Final answer:
To find the amount of fringe Sally needs to buy for the square place mat, the perimeter of the place mat needs to be calculated. By using the equation x^2 = 169, where x represents the length of one side, the length of one side is determined to be 13 inches. Since the perimeter of a square is 4 times the length of one side, Sally will need to buy 52 inches of fringe.
Step-by-step explanation:
To find the amount of fringe Sally needs to buy, we need to determine the perimeter of the square place mat. Since the place mat is in the shape of a square, all sides are equal in length. Let's call the length of one side 'x'. Since the area of the place mat is given as 169 square inches, we can set up the equation x^2 = 169, where '^2' means 'squared'. Solving for x, we find that x = 13 inches. Since the perimeter of a square is 4 times the length of one side, the perimeter of the place mat is 4 * 13 = 52 inches. Sally will need to buy 52 inches of fringe.