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Pentagonal prism B is the image of pentagonal prism A after dilation by a scale factor of \frac{1}{5}
5
1
​
. If the surface area of pentagonal prism B is 5 cm^2
2
, find the surface area of pentagonal prism A, the preimage.

Respuesta :

MrRoyal

Both prisms would have different areas, and the surface area of the pentagonal prism A, the preimage is 125 cm^2

How to determine the surface area of the prism A?

The given parameters are:

  • Scale factor from A to B, k = 1/5
  • Surface area of B = 5

The relationship between the surface areas of both prisms is represented as:

B = A * k^2

So, we have:

5 = A * (1/5)^2

Evaluate

5 = A * 1/25

Multiply both sides by 25

A = 125

Hence, the surface area of the pentagonal prism A, the preimage is 125 cm^2

Read more about dilation at:

https://brainly.com/question/3457976

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