Ok, an important part of this is that shapes can be categorized into multiple groups.
It goes something like this in this case: Quadrilateral
V
Rectangle
V
Square
When dealing with shapes, regular polygons always have less perimeter than irregular for the same area. Here, a square would have a perimeter of 16, with 4x4 dimensions; the next closest rectangle would have a perimeter of 20, with dimensions of 8x2; the last rectangle you could make would have a perimeter of 34, with dimensions of 16x1.
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