A right angled triangle with sides 3,4 and 5 units and a square with each side = 3 units.
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The sacle factor between two shapes is the same as the ratio of their perimeters.
Because the area is different than the perimeters
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.
That depends on the rectangle! You can have different rectangles with the same area, but with different perimeters.