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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 to

you when you see them that there's something different about them, and they

would not fit one on top of the other.

But if two rectangles have the same area and the same perimeter, then to look at them

you'd swear that they're the same rectangle, and one could be laid down on the other

and fit exactly.

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Q: Can different rectangles have the same area and perimeter?
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Continue Learning about Geometry

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 total perimeter of 6 square feet?

You can't tell the perimeter from the area. There are an infinite number of different shapes,all with different perimeters, that have the same area. Even if you only consider rectangles,there are still an infinite number of those that all have the same area and different perimeters.Here are a few rectangles with area of 6 square feet:Dimensions ... Perimeter0.75 x 8 . . . . . . 17.51 x 6 . . . . . . . . 141.5 x 4 . . .. . . . 112 x 3 . . . . . . . . 10


What is the perimeter of 5000 acres in meters?

You can't tell the linear dimensions from knowing only the area. There are an infinite number of shapes that all have the same area. Even if you consider only rectangles, there are still an infinite number of different rectangles, all with different lengths and widths, that all have areas of 5,000 acres.


How do you determine the area of a rectangle if you know the perimeter?

You can't. The perimeter doesn't tell the area. There are an infinite number of shapes with different dimensions and different areas that all have the same perimeter.


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

4 x 4 and 6 x 3

Related questions

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

no


How do you convert perimeter into square meters?

There is no standard relationship between perimeter and area. For example, you can have two rectangles that have the same perimeter, but different area.


Why does rectangles have the same area and perimeter?

they dont


What is the perimeter of a rectangle whose area is 21?

That depends on the rectangle! You can have different rectangles with the same area, but with different perimeters.


What is the perimeter in meters of a 28 acre field?

The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.


Find 4 rectangles with same area with different perimeter?

10cm by 10cm (perimeter=40cm), 5cm by 20cm (perimeter=50cm), 50cm by 2cm (perimeter=104cm), 100cm by 1cm (perimeter=202cm). All of these rectangles' areas are 100cm2


If the area of the rectangle is 320cm squared find its perimeter?

Not enough data. Different rectangles (different length:width ratios) can have the same area, but different perimeters.


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.


Is the area the same on all rectangles with the same perimeter?

No, it is not. I'll give you two examples of a rectangle with a perimeter of 1. The first rectangle has dimensions of 1/4x1/4. The area is 1/16. The second rectangle has dimensions of 3/8x1/8. The area is 3/64. You can clearly see that these two rectangles have the same perimeter, yet the area is different.


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

thare is only 1 differint 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.


Can a rectangles perimeter be the same as the area?

Yes, it can because a 3 by 6 rectangle has the perimeter of 18 and has the area of 18! :)