Answer :
Answer:
137 km^2
Step-by-step explanation:
prism A: scale factor 5
surface area of B: 3425 km
what is prism A's surface area?
well first of all, pre image is prism A, NOT prism B. prism A is smaller than B.
so, 3425 is not going to get multiplied by 5.
3425 = x times 5^2
3425 = x times 25
3425 25x
____ = ____
25 25
137 = x
x = 137
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
How to determine the surface area of prism A
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
