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No. Different rectangles, all with the same area, may have a different perimeter. Example:* A rectangle of 4 x 1 has an area of 4 square units, and a perimeter of 2(4+1) = 10.

* A rectangle of 2 x 2 has an area of 4 square units, and a perimeter of 2(2+2) = 8.

* A rectangle of 8 x 1/2 has an area of 4 square units, and a perimeter of 2(8 + 1/2) = 17.

In fact, for any given area, you can make the perimeter arbitrarily large. On the other hand, you get the lowest perimeter if your rectangle is a square.

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8y ago
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8y ago

Yes. Perimeter, P, is 2 x ( base + height) and area, A, is base x height.

If you have A and P and h then P = 2(A+h^2)/h

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