Math and Arithmetic
Geometry
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# What are the similarities between area and perimeter?

345 ###### 2012-05-08 15:21:48

They are physical characteristics of a plane shape. 3-dimensional shapes do have areas, but the concept of a perimeter is generally restricted to plane shapes.

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## Related Questions  The area is the space it covers. The perimeter is the length of its sides. You cannot. There is no direct relationship between perimeter and area. There is no standard relationship between perimeter and area. For example, you can have two rectangles that have the same perimeter, but different area. The difference between a perimeter and an area is the area is how much space is inside of a surface or a two dimensional object while the perimeter is the distance around a surface or a two dimensional object. 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. Area you multiply 2 sides and perimeter you add all the sides together. 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. perimeter is the measure around the figure; area is the measure within the figure formula: perimeter: length+length+width+width=perimeter (for square or rectangle) area: length times width= area ( for square or rectangle) Area is a 2-dimensional measure. Perimeter is 1-dimensional and volume is 3-dimensional. Perimeter is the distance around the outside. Area is the space inside. By multiplying length times width The area is found. Perimeter is the sum of sides The distance all around. By multiplying length times width The area is found. Perimeter is the sum of sides The distance all around. Perimeter and area have a relationship but the shape of the space and area together determine the perimeter. A circle has the maximum Area for a given perimeter -or- the minimum perimeter for a given area. Area = pi * radius * radius and perimeter = 2*pi * radius for a circle; perimeter = 2* pi * square root of (Area/pi) With regards to square and rectangles the closer a shape is to square the greater the Area for a given perimeter -or- the minimum the perimeter to a given area. Square Area = side * side and periemter = 4 * side So perimeter = 4 * square root (Area) To solve for a rectangle, you must know ONE side to solve as the relationship between the Area and the perimeter is change as the relative size of side1 and side 2 changes. Rectangle Area = side1 * side2 and perimeter = 2 * (side1 + side2) so perimeter = 2 * (Area/side1 + side1) or 2 * (Area/side2 + side2) The area is everything inside of a shape. Eg. the area (inside) a square or the area in a room. The perimeter is the outside edge. Eg. the edge of the square or the walls of a room. 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). It can't be done. You must also know at least any one of the following: Perimeter Relation between length and breath Relation between Area and length Relation between Area and breath Relation between perimeter and Area Breath and so on...........  Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter 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.  The perimeter is a measurement of the distance around the outline of a shape. The area is the measurement of all the space within the shape, and it is measured as (unit) 2 By multiplying length times width The area is found. Perimeter is the sum of sides The distance all around. 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. Area = (1/2)*(sum of the parallel sides)*(distance between them) ###### Math and ArithmeticGeometryBusiness & FinanceAlgebra Copyright © 2020 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.