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Either of the two can have the larger magnitude although, since one is a length and the other an area, they cannot be compared directly. Moreover, it depends on the units used.

For example, a square measuring 3 cm by 3 cm has a perimeter of 12 cm and an area of 9 cm2. The perimeter has the larger magnitude.

But the same square can be said to have sides of 30 millimetres. This gives a perimeter of 120 mm and an area of 900 mm2. The area has the larger magnitude.

The same sort of result applies to other polygons.

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Q: Is the preimeter of a polygon greater than the area of the polygon?
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