Is there a relationship between the area and the perimeter of a rectangle?

Question

Mathematics

Jovanny Ayala

27 June, 05:07

Is there a relationship between the area and the perimeter of a rectangle?

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Answers (1)

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Krista Guzman · Answer 1

The are is A=W*L

The perimeter is P=2L+2W

So there is some form of relationship.

A/W=L and P-2W=2L

A/W=L and (P-2W) / 2=L

A/W = (P-2W) / 2

2A/W=P-2W

2A=PW-2W^2

If you line them up according to the quadratic formula you can have

2W^2-PW+2A=0 where W is the variable equivalent to X in normal circumstances and P and A are set values. There is always a relationship between two numbers, or at least you can almost always create your own relationship. This may seem rather complicated but this is a complicated question and I applaud you for asking something of this sort.