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For a fixed area, the perimeter is minimum for a circle, but has no maximum. Fractal figures (such as Koch snowflake) may have a finite area within an infinite perimeter.

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Q: What is the relationship between the perimeter and area when area is fixed?
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Related questions

What kind of manipulative can use to teach the relationship between area and perimeter?

In general, there is no relationship between area and perimeter.


How do you convert the perimeter of a trapezoid to area?

You cannot. There is no direct relationship between perimeter and area.


What is the relation between perimeter and triangle area?

If you double (2 times) the perimeter the area will will be 4 times larger. Therefore the area is proportional to the square of the perimeter or the perimeter is proportional to the square root of area. The relationship as shown above applies only to triangles with similar proportions, that is when you scale up or down any triangle of fixed proportions. Other than that requirement, there is no relationship between perimeter and area of any shape of triangle except that it can be stated that the area will be maximum when the sides are of equal length (sides = 1/3 of perimeter).


What is the relationship for perimeter and area for rectangle?

There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.


In general describe the rectangle that has the least area for a fixed perimeter?

For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.


What is the relationship between scale factor and perimeter?

It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.


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.


Does perimeter have a relationship with area?

No because are is the in side and perimeter is the out side of all the sides..............


What is the relationship between perimeter and area and length?

Perimeter is the distance around an object. Area is the total amount of space inside the object. Length is the the measurement of one side of the object. Length is added up to find the perimeter. Length is multiplied to find the area.


What is the area for an octagon with a fixed perimeter of 300?

Approximately 6,789.98 units2


How does a change in perimeter influence the area of a shape?

There is no systematic relationship between the two. Consider the following 2 rectangles: A = 8 cm * 8 cm: Perimeter = 32 cm, area = 64 cm2 B = 14 cm * 4 cm: Perimeter = 36 cm, area = 56 cm2 The perimeter of B is larger, but the area is smaller.


Is there a relationship between the area and the perimeter of a rectangle explain?

Yes, there is. The area of a rectangle sets a lower limit on its perimeter.If the area is A, then the quadrilateral shape with the smallest perimeter has sides of length sqrt(A). Therefore the minimum perimeter is 4*sqrt(A). The perimeter can have any value grater than that since the area of the rectangle can be maintained while making it thinner and longer and thus increasing its perimeter with out any upper limit.