Question

Question

Use the image to answer the question.

One smaller and one larger square side by side.

In the diagram, the smaller square has side lengths of 13 centimeters, and the larger square has side lengths of 39 centimeters. Calculate and compare the perimeters. What is the ratio of the perimeter of the larger square to the smaller square?

(1 point)
Responses

4/3

3/1

3/4

1/3

Answer 1

To find the perimeters of the squares:

1. Perimeter of the smaller square:

   • Side length = 13 cm
   • Perimeter = 4 × side length = 4 × 13 = 52 cm

2. Perimeter of the larger square:

   • Side length = 39 cm
   • Perimeter = 4 × side length = 4 × 39 = 156 cm

3. Ratio of the perimeter of the larger square to the smaller square:

   • Ratio = Perimeter of larger square : Perimeter of smaller square
   • Ratio = 156 cm : 52 cm = 156 / 52 = 3

Therefore, the ratio is 3:1.

The answer is 3/1.