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Very little. The only two things that they have in common are that they are normally associated with two dimensional figures and that their measures depend on the measures of the sides (or other dimensions, such as radii) of the shape in question.

An area is a two dimensional characteristics of the shape, a perimeter is 1 dimensional; there is very little association between area and perimeter - you can have very tiny areas with huge perimeters eg a 0.00001m * 1000m rectangle would have an area smaller than an A4 sheet of paper, but would have a perimeter of just over 2 kilometres.

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Q: What is similar between area and perimeter?
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