Question

The area of a regular nonagon is 150 square cm. What is the area of a regular nonagon with sides three times the sides of the smaller nonagon?

Answer 1

1,350 square cm

Explanation:

As we all know, we have to square a dimension of length to get the dimension of an area

So in this case, since the dimension of the length is increasing by a factor of 3, the dimension of the area will be increasing by a factor which is square the factor by which the dimension of the side is increasing

Thus, we have the area dimension increase by a factor of 3^2 = 9 times the area of the smaller

nonagon

So the area of the bigger nonagon will be :

150 * 9 = 1,350 square cm