Question

The areas of two similar octagons are 9 m² and 25 m². What is the scale factor of their side lengths? PLZ HELP PLZ PLZ PLZ

Answer 1

3:5

Explanation:

Answer 2

`(3)/(5)`

Explanation:

Let the side length for the octagon having 9m² as area = x

Side length for the octagon having area of 25m² = y.

Thus:

`(9)/(25) = ((x)/(y))^2` (area of similar polygons theorem)

The scale factor of their sides would be
`(x)/(y)`. Which is:

`\sqrt{(9)/(25)} = (x)/(y)`

`(√(9))/(√(25)) = (x)/(y)`

`(3)/(5) = (x)/(y)`

Scale factor of their sides =
`(3)/(5)`