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As a perimeter is a measure of length and has different units to those measuring an area then it is the numerical value that is the same.

CIRCLE : area = perimeter occurs when πr2 = 2πr = : r = 2

SQUARE : area = perimeter when d2 = 4d : d = 4, where d is the length of a side.

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Q: A shape with the same area and perimeter?
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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.


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.


Which rectangle has the greatest area for a fixed perimeter?

The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.


What is the perimeter of 5000 square meters?

The area doesn't tell you the dimensions or the perimeter. It doesn't even tell you the shape. The shortest perimeter that could enclose that area would be a circle. The shortest perimeter with straight sides would be a square. If it's a rectangle, then there are an infinite number of them, all with different dimensions and different perimeters, that all have the same area.


If two shapes have the same perimeter will they have the same area?

Not at all. For example:A square of 2 x 2 will have a perimeter of 8, and an area of 4. A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero. The circle has the largest area for a given perimeter/circumference.

Related questions

Is perimeter and area the same?

No , perimeter is the measurement outside of the shape; the border. Area is the measurement of inside of the shape.


Should the area of a shape be the same as the perimeter?

No.


Is there a shape with the same perimeter and area?

There is a square that has a length of 4. Area: 4 x 4: 16 Perimeter: 4+4+4+4= 16 Yes, there is a shape with the same perimeter and area.


With the same perimeter which shape will have largest area?

A circle.


What shape has the same area but a different perimeter?

a square


Can a shape have the same area but not perimeter?

Most shapes have different perimeter than area, as far as value.


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 are perimeter and area the same?

both include the outside of the shape


Can a rectangle have the same perimeter but different area explain?

No, any shape with four sides and same perimeter will always be a square.


Which shape with the same area takes up the least perimeter?

A circle


Which quadrilateral will give you the greatest area for the least perimeter?

A square will. The only shape that can enclose more area with the same perimeter is a circle.


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.