Math and Arithmetic

Does changing the area always change the perimeter?


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2014-10-02 20:34:03
2014-10-02 20:34:03

No. A rectangle of 1 x 3 has the same perimeter as a rectangle of 2 x 2, but the areas are different.

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The answer depends entirely on how the dimensions change. It is possible to change the dimensions without changing the perimeter. It is also possible to change the dimensions without changing the area. (And it is possible to change the area without changing the perimeter.)

No the area is almost always greater.

I am assuming that "traingle" is meant to be triangle and "permeter" is meant to be perimeter.The area of a triangle cannot be equal to its perimeter because the area is a measure in 2-dimensional space whereas a perimeter is a 1-dimensional measure. So their dimensions will always be different.Furthermore, the area of a triangle is not determined by its perimeter. The area of a triangle can be changed - without affecting its perimeter - simply by changing the angles.

The perimeter of a shape does not determine its area. The shape can be made thinner without changing its perimeter but reducing its area.

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4x4 square: perimeter - 16 area - 16 6x2 rectangle perimeter - 16 area - 12

The perimeter of a shape does not determine its area. The shape can be made thinner without changing its perimeter but reducing its area.

A 3 x 3 square has perimeter 12 and area 9 A 6 x 6 square has perimeter 24 and area 36 Double the dimensions, double the perimeter, quadruple the area. Mathematically, a square with side x has a perimeter of 4x and an area of x2 Doubled, a square with side 2x has a perimeter of 8x and an area of 4x2

No,for example, a 1x2 rectangle has an area of 2 but a perimeter of 6

No the area is not always larger than the perimeter. Ex. The area of a reectangle could be 4 feet. The width could be 4 while the length is 1. The perimeter total would be 10.

To answer this simply try a few out for yourself. In a 2x1 cm rectangle, the area is 2 cm squared and the perimeter is 6 cm In a 12x10 rectangle, the area is 120 cm squared and the perimeter is 44 cm. In some cases, the perimeter is larger and in others it is smaller. To answer your question, no, the perimeter of a rectangle is NOT always greater than its area.

Area is length times width (only for rectangle) while perimeter is all the sides added up (always).

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

the perimeter of a figure is never squared, but the area of a figure is always squared. Hope this helped :)

For a square, the area is always 1/4 of the perimeter squared. Or one side squared.

When linear dimensions are multiplied by 'K', - perimeter is also multiplied by 'K' - area is multiplied by K2 - volume is multiplied by K3

No. Consider two rectangles: 1 x 10 and 4 x 5 The 1 x 10 has a perimeter of 22 and an area of 10 The 4 x 5 has a perimeter of 18 and an area of 20 Smaller perimeter, twice the area.

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)

Just moving a triangle, or rotating, or even reflecting (without scaling) a shape will not change its area or its perimeter.

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

if your perimeter totals the same as 4 times pi then the maximum area that can be encompassed is equal to the perimeter. This is done by forming a circle. if you change the shape of the circle then the area will become smaller than the perimeter(circumference) if you make the circumference of the circle smaller then you will definitely decrease the area faster than you would the perimeter if you make the perimeter bigger then you will definitely increase the area faster than you would the perimeter.

Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter

You just have to change the lengths of the sides. For example, if you wanted a perimeter of 20, your rectangle could be... 1x9 with area of 9 2x8 with area of 16 3x7 with area of 21 4x6 with area of 24 5x5 with area of 25 All of these have the same perimeter, but a different area, see?

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