The Solution:
Given the side ratio below:
[tex]4\colon17[/tex]We are asked to find the area ratio of the figures being compared.
While the ratio of sides is linear, the ratio of area is square.
This means that if:
[tex]\begin{gathered} \text{ side ratio =4:17} \\ \text{Then it follows that} \\ \text{area ratio will be} \\ \text{ 4}^2\colon17^2=16\colon289 \end{gathered}[/tex]Therefore, the correct answer is [ 16:289 ]
