Question

A polygon
has an area of 225 square meters. If the
area is tripled, how does each side length
change?

Answer 1

The polygon is not given to be regular nor similar to the polygon which results from the tripled sides.

Answer 2

If they are, then this theorem would apply:

If two solids are similar, the square of the scale factor of the two solids is equal to the ratio of any two corresponding area measurements of the solids.

Answer 3

That would give the square of the ratio of the sides to be 225/(3*225)

Answer 4

Hey, thanks so much for explaining :)

Answer 5

(s/s3)^2 = (225/(3*225)

(s/s3)^2 = (1/(3)

s/s3 = √(1/3) where s is the side of the original polygon and s3 is the side of the polygon with tripled area.

s/s3 = √(3) / 3

Answer 6

Do you have answer options?

Answer 7

no

Answer 8

S3 = √(3) * s)

Each original side is multiplied by a factor of √3

Answer 9

Here's a way to think about it.