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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
2
, find the surface area of pentagonal prism A, the preimage.

Respuesta :

MrRoyal

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

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