Math and Arithmetic
Algebra
Geometry

How do you find the perimeter and area for complex shapes without a grid?

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2014-03-21 17:19:54
2014-03-21 17:19:54

To find the perimeter and areas of complex shape without a grid you should divide the shape into simple shapes and find the area of each shape alone and then add up the areas all together to get the area of the whole shape. Example: If there is a shape that can be divided into 2 triangles and 1 rectangle then you will find the area of each triangle alone and then the area of the rectangle then add up all the areas together.

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Anywhere between 0 square feet and approx 998.2 square feet - it all depends upon the exact shape of the complex figure. To calculate the area of a complex figure, split it up into shapes for which you can workout the area and then add all the areas of the shapes together.


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


Yes - even shapes with different area.



You don't need to if you can manage to work out the perimeter and area of complex shapes. Most people cannot work easily with shapes other than triangles, quadrilaterals, circles and semicircles. For them (us) it is easier to partition 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.


No.Rectangle 5 x 10. Area = 50. Perimeter = 30.Rectangle 2 x 25. Area = 50. Perimeter = 54.


There is no perimeter of a circle. Only flat shapes have perimeters. You can however, find the circumference, surface area, and volume.


Because the area is different than the perimeters


You can't. The perimeter doesn't tell the area. There are an infinite number of shapes with different dimensions and different areas that all have the same perimeter.


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.


area is times the side and the top and the perimeter is adding the top bottom side and the other side


The circle has the largest area. The area can be made as small as you like.



You can't. The perimeter doesn't tell the area. There are an infinite number of shapes with different dimensions and different areas that all have the same perimeter.


Certainly. Infinitely many for any given area.


The area doesn't tell you the perimeter. There are an infinite number of shapes and sizes, all with different dimensions and perimeters but the same area.


For the area of a square, it is the base x the height, and the perimeter is 2height+2base. For the area of a triangle, it is base x height divided by two. And to find the perimeter you just add up each of the side lengths.


Infinitely many shapes have a perimeter of 28 and an area of 18. A rectangle that has those qualities has one side about 1.432 and the other about 12.568


You break it up into smaller shapes which are less irregular. If these are more regular, you can calculate their contribution to the perimeter, and their area. You can then add these together.



you find area or perimeter in shapes like square and triangle


It need not be a complex shape. You can have a rectangle with these properties. Just solve the two equations: 2a + 2b = 100 (for the perimeter) ab = 105 (for the area)


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.)


If the shapes are similar, such are all circles or all squares, those with the largest perimeters would also have the largest areas. However, in general there is no direct relation. For example a 2 by 2 rectangle has an area of 4 and a perimeter of 8, but a 2000 by 0.0005 rectangle has an area of 1 and a perimeter of 4000.001.



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