Scale factors are used to enlarge or compress the surface area of a shape
The surface area of pentagonal prism A is 129.8 km^2
The area of prism B is given as:
[tex]Area = 3425km^2[/tex]
The scale factor from A to B is:
[tex]k = 5[/tex]
The area of shape A is then calculated as:
[tex]A = \frac{Area\ of\ B}{k^2}[/tex]
So, we have:
[tex]A = \frac{3245}{5^2}[/tex]
[tex]A = 129.8[/tex]
Hence, the surface area of pentagonal prism A is 129.8 km^2
Read more about scale factors at:
https://brainly.com/question/3457976
