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How can 2 rectangles have the same area?

Updated: 4/28/2022
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13y ago

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1x36 and 2x18 is an example

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13y ago
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Q: How can 2 rectangles have the same area?
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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.


Can you Find 2 rectangles whose dimensions are whole nos and their area and perimeter is same?

4 x 4 and 6 x 3


Can different rectangles have the same area and perimeter?

It's very easy for two rectangles to have the same area and different perimeters,or the same perimeter and different areas. In either case, it would be obvious toyou when you see them that there's something different about them, and theywould not fit one on top of the other.But if two rectangles have the same area and the same perimeter, then to look at themyou'd swear that they're the same rectangle, and one could be laid down on the otherand fit exactly.


Are rectangles and rectangular prisms the same thing?

No, rectangular prisms are 3 dimensional and rectangles are only 2 dimensional.


Can 2 different size rectangles have the same area?

Yes. Two different size rectangles can have the same area. Take a 6x8 rectangle and a 4x12 rectangle. Both have an area of 48 square units. But wait ! Doesn't it all depend on what you mean by "size" ?? I suspect that a hardwood floor dealer or a carpet salesman would agree that a 4-by-12 room and a 6-by-8 room are both the same 'size'.

Related questions

If 2 rectangles have the same area will they always be similar?

No some times


Why does rectangles have the same area and perimeter?

they dont


Is there an example of 2 rectangles with the same area but different areas?

No. Many investigators have searched for such an example, but none have found it yet. According to all published research so far, two rectangles with the same area always have the same area. But the search goes on, in many great universities.


How many rectangles have the same area and perimeter of 18?

thare is only 1 differint rectangles


What are some rectangles with the area the same as the perimeter?

A rectangle cannot really have the same area and perimeter because an area is a 2-dimensional concept while a perimeter is 1-dimensional.However, you can have rectangles such that the numericalvalue of their area and perimeter are the same.Take any number x > 2 and let y = 2x/(x-2)Then a rectangle with sides of x and y has an area and perimeter whose value is 2x2/(x-2)


Can rectangles with the same perimeter have different areas?

Yes. Say there are two rectangles, both with perimeter of 20. One of the rectangles is a 2 by 8 rectangle. The area of this rectangle is 2 x 8 which is 16. The other rectangle is a 4 by 6 rectangle. It has an area of 4 x 6 which is 24.


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

no


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.


How do you know if 2 rectangles are the same size and shape?

by measuring both rectangles


Draw 2 rectangles with same perimeter but difference area?

This browser is hopeless for drawing but consider the following two rectangles: a*b and (a+1)*(b-1). Their perimeter will be 2a+2b but unless a = b-1, their area will be different.


Consider the same pairs of rectangles as above what happens to the area?

There's no way for me to answer that question with the information I have, since there are no rectangles "above".


Can two rectangles have the same area but different lengths and widths?

Yes. Consider a 2 x 6 and a 3 x 4