Question
The pair of figures to the right are similar. What is the ratio of the perimeters and the ratio of the areas?
15:21
15:21
Answers
GPT 3.5
The ratio of the perimeters of similar figures is equal to the ratio of their corresponding sides.
For the figures given, the ratio of their perimeters is 15:21.
The ratio of the areas of similar figures is equal to the square of the ratio of their corresponding sides.
Therefore, the ratio of their areas would be (15/21)^2 = 225/441 ≈ 0.5102.
So, the ratio of the perimeters is 15:21 and the ratio of the areas is approximately 0.5102:1.
For the figures given, the ratio of their perimeters is 15:21.
The ratio of the areas of similar figures is equal to the square of the ratio of their corresponding sides.
Therefore, the ratio of their areas would be (15/21)^2 = 225/441 ≈ 0.5102.
So, the ratio of the perimeters is 15:21 and the ratio of the areas is approximately 0.5102:1.