SOLUTION: A regular nonagon has an area of 121m^2. A similar nonagon has an area of 64m^2. What is the ratio of the sides of the larger nonagon to the smaller nonagon?

Algebra ->  Polygons -> SOLUTION: A regular nonagon has an area of 121m^2. A similar nonagon has an area of 64m^2. What is the ratio of the sides of the larger nonagon to the smaller nonagon?      Log On


   



Question 598407: A regular nonagon has an area of 121m^2. A similar nonagon has an area of 64m^2. What is the ratio of the sides of the larger nonagon to the smaller nonagon?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a nonagon (or any 2D shape) is a linear function of s^2 where s is the side length or any other 1-dimensional part of the shape.

Since 121 = 11^2 and 64 = 8^2, we can say that the ratio of the side lengths is 11:8.