# Similarity

The area of the regular 10-gon is 563 cm2. The area of similar 10-gon is 606 dm2.

What is the coefficient of similarity.

Correct result:

k =  12.98

#### Solution:

$k=\sqrt{\frac{{S}_{2}}{{S}_{1}}}=\sqrt{\frac{100\cdot 949}{563}}=12.98$

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