yes, for example:
a 4 by 5 rectangle has an area of 20 and a perimeter of 18
a 2 by 7 rectangle has an area of 14 and a perimeter of 18
yes, for example:
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There is not a single perimeter associated to a given area. You can have different perimeters, depending on the shape.
Base times height
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.
Sure. The area of a parallelogram is (length of base) times (vertical height). Many pairs of numbers can have the same product, but if the (base / height) of two parallelograms are different pairs of numbers, then their shapes are different. Example: A rectangle is a parallelogram that's easy to work with. Take two rectangles: Rectangle #1: Length=6, Width=5, Area=30 Rectangle #2: Length=15, Width=2, Area=30 These rectangles certainly have different shapes. In #1, the length is 83% of the width, and in #2, the length is only 13% of the width. But they both have the same area.
Oh, dude, you can draw like infinite parallelograms with an area of 24 square units. As long as the base and height multiply to 24, you're good to go. So, like, go wild with those parallelograms, man.