Answer :

Given the following question:

A polygon has a area of 10 square units

Which is dilated by a scale factor of K

Find the area of the image if k = 1.5

Since the scale factor of the image is 1.5 and we are already been given the area of the polygon.

[tex]\begin{gathered} 10\times1.5^2 \\ 1.5^2=1.5\times1.5=2.25 \\ 10\times2.25=22.5 \\ A_{1.5}=22.5 \end{gathered}[/tex]

Also remember the area is 10 square units or 10 squared.

Your answer is 22.5.