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What shape has the same perimeter but not the same area?

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2010-09-22 20:41:47
2010-09-22 20:41:47

Begs the question: Same perimeter as what?

There are plenty of examples of shapes that given the same perimeter length will have different areas, e.g. pick any two of the following: Circle, Square, Triangle, Rhombus, Pentagon, Hexagon...

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A square has the same area and perimeter of 16cm


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


Given any shape with a given area you can another shape with the same area but a different perimeter. And convesely, given any perimeter you can have another shape with the same perimeter but a different area. And these apply for the infinite number of shapes.


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.


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


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


both include the outside of the shape


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


perimeter is when you have a shape and then you have your area and that is what is in the middle of the shape and perimeter is the edge of the shape.


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


To draw a shape with the same area and perimeter, decide what shape you want to draw, then take the equations for area and perimeter and make them equal, and then solve what the various side lengths have to be. For instance, the area of a square is L2 where L is the side length, and the perimeter of a square is Lx4 We want them equal, so L2=Lx4 Dividing both sides by L gives us L=4, so if I draw a square with side length 4, it will have the same area and perimeter.


The area of a 2-dimensional shape is the amount of space contained within its boundaries. The perimeter is the total length of the boundary.


Perimeter and area are not sufficient to determine the shape of a figure.


That depends on the exact shape. For the same area, you can have different perimeters, depending on the shape.


perimeter means inside of shape and u addarea means outside of shape and u multiplyperimeter and area questions


Perimeter is the outside. The area is the inside of a shape.


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.


Area is the amount of square units in a 2-D shape, and perimeter is the distance around a shape



The area will decrease but the perimeter can increase, stay the same or decrease depending upon how the piece was cut off.


A square 4 squares in the middle and 4 lines out so it has to be a square!!! actually a square does not have the same perimeter and area a 4x4 area square has 8 perimeter so no squares do not but i have made a shape that has 32 perimeter and 32 area so it is possible and we don't want to tell you what the shape is. i already gave you too much information with the 32.... << inccorect A 4x4 square does have the same perimeter and area 4x4=16 4+4+4+4=16 But there are also other shapes such as a circle witha diameter of 2 A right angled triangle with sides of 6, and 8 and the hypotenuse being 10 has the same area as perimeter.


The perimeter is the outside of a shape and the area is the inside of it


If you want to enclose a certain area, the shape that does it with the shortest perimeter is a circle.


Any plane shape can have the same perimeter as any other plane shape.


The perimeter has nothing to do with the area you have to times the width times height times length and that will give you the area of the shape



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