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They can, but not necessarily.

Let's say we have a rectangle of 5x6 and another of 1x30.

The areas of both are 30 square feet, but their perimeters are different.

Perimeter of 5x6: 5+5+6+6=22 feet

Perimeter of 1x30: 1+1+30+30=62 feet

There are many more examples of this.

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Q: Do rectangles with the same area of 30 feet have the same perimeter?
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