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If two rectangles have the same area do they also have to have the same perimeter?
Not necessarily. Let's say that there is a circle with the area of 10. Now there is a star with the area of 10. They do not have the same perimeter, do they? That still applies with rectangles. There might be a very long skinny rectangle and a square next to each other with the same area, but that does not mean that they have the same perimeter. Now if the rectangles are congruent then yes.
Can you Find 2 rectangles whose dimensions are whole nos and their area and perimeter is same?
4 x 4 and 6 x 3
Are rectangles and rectangular prisms the same thing?
No, rectangular prisms are 3 dimensional and rectangles are only 2 dimensional.
Can different rectangles have the same area and perimeter?
It's very easy for two rectangles to have the same area and different perimeters,or the same perimeter and different areas. In either case, it would be obvious toyou when you see them that there's something different about them, and theywould not fit one on top of the other.But if two rectangles have the same area and the same perimeter, then to look at themyou'd swear that they're the same rectangle, and one could be laid down on the otherand fit exactly.
Can 2 different size rectangles have the same area?
Yes. Two different size rectangles can have the same area. Take a 6x8 rectangle and a 4x12 rectangle. Both have an area of 48 square units. But wait ! Doesn't it all depend on what you mean by "size" ?? I suspect that a hardwood floor dealer or a carpet salesman would agree that a 4-by-12 room and a 6-by-8 room are both the same 'size'.
