Yes you can
ex. square 4x4 16
ex. rectangle 8x2
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they are different because perimeter is the out side of the shape and area is inside of the shape.
Most shapes can have the same area and different perimeters. For example the right size square and circle will have the same are but they will have different perimeters. You can draw an infinite number of triangles with the same area but different perimeters. This is before we think about all the other shapes out there.
MOst of it
Because the area is different than the perimeters
That depends on the rectangle! You can have different rectangles with the same area, but with different perimeters.