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3 years ago

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

Mathematics

1 answer:

torisob [31]3 years ago

6 0

Answer:

$\frac{3}{5}$

Step-by-step explanation:

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

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

Thus:

$\frac{9}{25} = (\frac{x}{y})^2$ (area of similar polygons theorem)

The scale factor of their sides would be $\frac{x}{y}$ . Which is:

$\sqrt{\frac{9}{25}} = \frac{x}{y}$

$\frac{\sqrt{9}}{\sqrt{25}} = \frac{x}{y}$

$\frac{3}{5} = \frac{x}{y}$

Scale factor of their sides = $\frac{3}{5}$

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