Both prisms would have different areas, and the surface area of the pentagonal prism A, the preimage is 125 cm^2
<h3>How to determine the surface area of the prism A?</h3>
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
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