Yes it can.
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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.
There is an infinite number that can have that perimeter
There are an infinite number of shapes with perimeters of 32.Even if you stuck to one shape and asked: "How many squares ..." or "How many circles ... " or "How many triangles ... ",there are still an infinite number of each shape that all have perimeters of 32.
Perimeter is the outside of a shape
Perimeter is the outside. The area is the inside of a shape.