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There is no systematic relationship between the two.

Consider the following 2 rectangles:

A = 8 cm * 8 cm: Perimeter = 32 cm, area = 64 cm2

B = 14 cm * 4 cm: Perimeter = 36 cm, area = 56 cm2

The perimeter of B is larger, but the area is smaller.

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Q: How does a change in perimeter influence the area of a shape?
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