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Suppose the base is x * y units

Then base perimeter = 10 units implies that 2*(x + y) = 10 so that x + y = 5 which implies that y = 5 - x.

Also, base area = 7 square units imples that x*y = 7

Therefore x*(5-x) = 7

so that 5x - x2 = 7 or x2 - 5x + 7 = 0

This equation has no real solutions and so a prism with the specified characteristics cannot exist in real 3-dimensional space.

I strongly suggest that in future, you check your question before posting them and wasting people's time with nonsense questions.

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Q: What is the area of a prism with a base perimeter of 10 units a height of 3 units and a total base area of 7 square units?
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