Yes, let's take two different rectangles:
Both of these have an area of 20 square inches, and they are not congruent. You could also have one: 1 inch by 20 inches, 1/2 inch by 40 inches, etc.
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No, rectangles do not have congruent sides. Squares have congruent sides.
A hexagonal prism.
Isosceles trapezoids, squares, and rectangles.
Yes
A prism??? O.o sounds like it to me anyway...