Question

Please help me find the area of two similar octagons

Answer 1

Answer:

3:5

Step-by-step explanation:

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

The scale factor of their areas is $\frac{25}{9}$ or 9:25

The scale factor of their side lengths is $\sqrt{25/9}$ or 3:5

Answer 2

ANSWER

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

${( \frac{m}{n}) }^{2} = \frac{9}{25}$

We take square root of both sides to get;

$\frac{m}{n} = \sqrt{ \frac{9}{25} }$

We simplify the square root to get

$\frac{m}{n} = \frac{3}{5}$

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