Answered

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If the side ratio is 4:17, the the area ratio is

Sagot :

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 ]

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