To calculate the perimeters of both squares, we use the formula for the perimeter of a square, which is given by \( P = 4 \times \text{side length} \).
For the smaller square:
- Side length = 13 cm
- Perimeter = \( 4 \times 13 = 52 \) cm
For the larger square:
- Side length = 39 cm
- Perimeter = \( 4 \times 39 = 156 \) cm
Now, to find the ratio of the perimeter of the larger square to the perimeter of the smaller square, we use: \[ \text{Ratio} = \frac{\text{Perimeter of larger square}}{\text{Perimeter of smaller square}} = \frac{156}{52} \]
Now, simplify \( \frac{156}{52} \):
- \( 156 \div 52 = 3 \)
Thus, the ratio is \( 3 \) or \( \frac{3}{1} \).
The correct response is: Start Fraction 3 over 1 End Fraction.