Question

If the ratio of the corresponding side lengths of two similar polygons is 5;9, what is the ratio of their perimeters?

Answer 1

The ratio of perimeters of polygon = 5 : 9

Explanation:

Given the ratio of side lengths of two similar polygons is 5:9

Considering the polygons to be a regular polygons,

Perimeter of a regular polygon = 5*side

Perimeter of first polygon = 5*5 = 25

Perimeter of second polygon = 5*9 = 45

Ratio of perimeters =
`(25)/(45)`

Reducing (Dividing numerator and denominator by 5)

`(25)/(45)=25: 45`

= 5 : 9

Hence, the ratio of perimeters of polygon = 5: 9

Answer 2

Answer: 5 : 9

Explanation: