Question

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

Answer 1

Let me tell you the process so that you get to the answer
Remember first that the area of a regular polygon with x sides has  each of them a length which can be represented by y 

A = 1/4 * xy^2 * Cot(180/x) 
The purpose is to solve for y, so we get 
y^2 = 4A/(xCot(180/x)) 
y = √(4A/(xCot(180/x)))

The thing we need to change is A in the previous formula and with that we can use the equaation to be a constant. This could be represented by Z
Z = √(4/(xCot(180/x)))
so
Y = Z√A 
If we increase area by a factor s, y increases by a factor of √x.
So if you want to know the triple then you need to increase it by  √3