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31-01-2021
Mathematics

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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?

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle

05-02-2021

Answer:

1,350 square cm

Step-by-step 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

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