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Shapes with the same area can be different sizes. If you restrict yourself to integers, a rectangle with an area of 12 square inches can have the following dimensions:

1 x 12 (perimeter 26)

2 x 6 (perimeter 16)

3 x 4 (perimeter 14)

The long skinny piece has most of its area near the edges. The one that's most like a square has most of its area in the center.

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Q: Why can shapes with the same area have different perimeters?
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Is it true that the greater the perimeter the greater the area?

No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.


How do you work out area in cm2 from perimeter?

If the sides are in cm, then you would multiply the length of the shape by the width, which equals area. And area is in the unit of the sides but squared. So in this example it would be cm2. ========================================= The answer to the question is: You can't. The perimeter doesn't tell you what the area is. You can have two different drawings with the same perimeter and different areas, or with the same area and different perimeters. Even if they're both triangles, or both rectangles, etc. You can't take perimeter and 'work out' area from it.


Shapes with the same perimeter do they have the same area?

No.It is not possible for the shape with the same perimeter to have the same area. This is because, to do this, you would have to cut up two shapes into eight pieces, add the amount of them all together and divide them by 7.559832076. By doing this you are breaking the seventh note, this is against the laws of trigonometry there by breaking this rule of concentration, so this statment; having shapes with the same perimeter have the same area, is therefor not true!Thank you.


Figures with the same shape but different size are called?

Similar shapes.


What is the perimeter of 575 square units?

You can't tell. The area doesn't tell you the dimensions. There are an infinite number of different shapes with different dimensions and different perimeters that all have the same area. -- If the 575 square units of area are in the shape of a circle, then the radius of the circle is 13.53 units and the perimeter (circumference) is 85 units. (rounded) -- If the 575 square units of area are in the shape of a square, then each side of the square is 23.98 units and the perimeter is 95.92 units. (rounded) -- The 575 square units of area could also be a (23 x 25) rectangle, with perimeter of 96. -- The 575 square units of area could also be a (115 x 5) rectangle, with perimeter of 240. -- The 575 square units of area could also be a (575 x 1) rectangle, with perimeter of 1,152.

Related questions

Can shapes of the same area have different perimeters?

MOst of it


How shapes have the same area but different perimeter?

Because the area is different than the perimeters


What shapes have the same perimeter but different areas?

Most shapes can have the same area and different perimeters. For example the right size square and circle will have the same are but they will have different perimeters. You can draw an infinite number of triangles with the same area but different perimeters. This is before we think about all the other shapes out there.


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.


What is perimeter of 435600 sqft?

The area doesn't tell you the perimeter. There are an infinite number of shapes and sizes, all with different dimensions and perimeters but the same area.


Why can you have a shape with different perimeters but the same area?

they are different because perimeter is the out side of the shape and area is inside of the shape.


How do scale factor and ratio of perimeters compare?

The sacle factor between two shapes is the same as the ratio of their perimeters.


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.


Is it true that the greater the perimeter the greater the area?

No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.


Can two shapes have the same perimeter?

Yes - even shapes with different area.


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.


Is it possible for two shapes to have the same area but different perimeters?

Yes it is possible. Consider these two shapes with the same area: a 2-inch square and a 1-inch x 4-inch rectangle both have the same area of 4 sq inches. However, the square has a perimeter of 8 inches while the rectangle has a perimeter of 10 inches. By the way, the shape with the largest area for a given perimeter is a circle.