Question

Please help me find the area of two similar octagons

Answer 1

3:5

Explanation:

The areas of two similar octagons are 9m² and 25m²

The scale factor of their areas is
`(25)/(9)` or 9:25

The scale factor of their side lengths is
`√(25/9)` or 3:5

Answer 2

3:5

EXPLANATION

The given similar octagons have areas 9 m² and 25m² .

Let the scale factor of their side lengths be in the ratio:

m:n

`{( (m)/(n)) }^(2) = (9)/(25)`

We take square root of both sides to get;

`(m)/(n) = \sqrt{ (9)/(25) }`

We simplify the square root to get

`(m)/(n) = (3)/(5)`

Therefore the scale factor of their side lengths is 3:5