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They need not be congruent so the question is based on a fallacy.

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11y ago
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Q: Why are two rectangles with the same perimeter congruent?
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Related questions

Would Two rectangles that have a same perimeter are congruent?

No


If two rectangles have the same perimeter, do they have to be congruent?

if you mean congruent as allowing to rotate, reflect then yes 1 likely though


If two rectangles have the same area do they also have to have the same perimeter?

Not necessarily. Let's say that there is a circle with the area of 10. Now there is a star with the area of 10. They do not have the same perimeter, do they? That still applies with rectangles. There might be a very long skinny rectangle and a square next to each other with the same area, but that does not mean that they have the same perimeter. Now if the rectangles are congruent then yes.


What is the area and perimeter of a large square if two congruent rectangles are arranged so they from a square with each perimeter of rectangles is 36 inches?

area = 144 square units perimeter = 48 units


Are two rectangles with the same perimeter always congruent to each other?

no because one rectangle may be 3x4 which the perimeter is 14 and one rectangle may be 5x2 which as well equals 14


Do two different rectangles with the same perimeter necessarily have the same area?

no


Is it possible for two rectangles to have the same perimeter and area?

Only if they are congruent. One of them could be the a rotation of the other - eg 4m x 6m and 6m x 4m.


Can two rectangles have a different shape but have the same perimeter?

Yes. A 1 x 4 and a 2 x 3 have the same perimeter.


Are two rectangles always congruent?

No.


If two shapes have the same area and perimeter are they congruent?

Only if they have the same number of sides.


Why are rectangles congruent?

if the sides of two rectangles are equal then they r congrunt


Why are two rectangles not always congruent?

They're sides may not be congruent.