Question

The areas of two similar octagons are 4 m² and 9 m². What is the scale factor of their side lengths? PLZ PLZ HELP PLZ

Answer 1

3:5

Explanation:

square root of 9 is 3.

square root if 25 is 5.

therefore, 3:5.

Answer 2

`(2)/(3)`

Explanation:

Area of Octagon A = 4 m²

Side length of Octagon A = a

Area of Octagon B = 9 m²

Side length of Octagon B = b

The scale factor of their side lengths =
`(a)/(b)`

According to the area of similar polygons theorem,
`(4)/(9) = ((a)/(b))^2`

Thus,

`\sqrt{(4)/(9)} = (a)/(b)`

`(√(4))/(√(9)) = (a)/(b)`

`(2)/(3) = (a)/(b)`

Scale factor of their sides =
`(2)/(3)`