Question

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

Answer 1

The Solution:

Given the side ratio below:

`4\colon17`

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:

`\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}`

Therefore, the correct answer is [ 16:289 ]