One polygon has a side of length 3 feet. A similar polygon has a corresponding side of length 9 feet. The ratio of the perimeter

Question

3 years ago

11

of the smaller polygon to the larger is...

2 answers:

Alexeev081 [22] · Answer 1 · 2022-07-26T17:42:48+03:00

7 0

The answer is times 3 (*3) or (1/3)

Kay [80] · Answer 2 · 2022-07-26T18:45:43+03:00

Answer: The ratio of the perimeter of the smaller polygon to the larger polygon is 1 : 3.

Step-by-step explanation: Given that one polygon has a side of length 3 feet and a similar polygon has a corresponding side of length 9 feet.

We are to find the ratio of the perimeter of the smaller polygon to the larger one.

We know that

the ratio of the perimeters of two similar polygons is equal to the ratio of the lengths of any two corresponding sides of them.

Therefore, the required ratio of the perimeter of the smaller polygon to the larger polygon is given by

$R=\dfrac{3}{9}=\dfrac{1}{9}=1:3.$

Thus, the required ratio is 1 : 3.