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

Answer:

625 units²

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:

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

Therefore, the new area is:

$\begin{gathered} =25\times5^2 \\ =25\times25 \\ =625\; units^2 \end{gathered}$

The new area is 625 square units.