Middle School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Pentagonal prism B is the image of pentagonal prism A after dilation by a scale factor of 55. If the surface area of pentagonal prism B is 3425 km\(^2\), find the surface area of pentagonal prism A, the preimage.

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

Other Questions