Question

A figure has a area of 25 units^2. what will the new area be after a dilation with a scale factor of 5?

Answer 1

625 units²

Step-by-step explanation:

Given that the area of the figure = 25 square units

On dilation with a scale factor, the new area is obtained using the formula:

`\begin{gathered} \text{New Area=Old Area}* k^2 \\ \text{Scale Factor,}k=5 \end{gathered}`

Therefore, the new area is:

`\begin{gathered} =25*5^2 \\ =25*25 \\ =625\; units^2 \end{gathered}`

The new area is 625 square units.