To find the perimeters of the squares, we can use the formula for the perimeter of a square, which is:
\[ \text{Perimeter} = 4 \times \text{side length} \]
For the smaller square with a side length of 13 centimeters:
\[ \text{Perimeter of smaller square} = 4 \times 13 = 52 \text{ centimeters} \]
For the larger square with a side length of 39 centimeters:
\[ \text{Perimeter of larger square} = 4 \times 39 = 156 \text{ centimeters} \]
Next, we calculate the ratio of the perimeter of the larger square to the perimeter of the smaller square:
\[ \text{Ratio} = \frac{\text{Perimeter of larger square}}{\text{Perimeter of smaller square}} = \frac{156}{52} \]
Calculating the ratio:
\[ \frac{156}{52} = 3 \]
Thus, the ratio of the perimeter of the larger square to the smaller square is \( \frac{3}{1} \).
The correct response is:
31 (Start Fraction 3 over 1 End Fraction)
1 answer