Area  Definition with Examples
The area of the squares below, with unit squares of sides 1 centimeter each, will be measured in square centimeters (cm²).
Here, the area of the shapes below will be measured in square meters (m²) and square inches (in²).
The origin of the word area is from ‘area’ in Latin, meaning a vacant piece of level ground. The origin further led to an irregular derivation of area as ‘a particular amount of space contained within a set of boundaries’.
We often find the area of the room floor to determine the size of the carpet to be bought. Covering the floor with tiles, covering the wall with paint or wallpaper or building a swimming pool are other examples, where in the area is computed.
TwoDimensional Geometric Shapes: 
Name of the shape:  Picture of shape:  Area Formula: 
Circle 
Area = πr²,
where r is the radius.


Triangle 
Area =
bh,
where b is base,
And h is height.


Square 
Area =l × l,
where l is the length of each side.


Rectangle 
Area = l × w,
where l is length
and w is width.


Parallelogram 
Area = b × h,
where b is base,
and h is perpendicular height.


Trapezium 
Area=
(a +b)h ,
where a and b are lengths of the parallel sides,
and h is perpendicular height.

In real life, not every plane figure can be clearly classified as a rectangle, square or a triangle. To find the area of a composite figure which consists of more than one shape, we need to find the sum of the area of both or all the shapes forming the composite figure.
The area of the outside surface of a solid or threedimensional shape is called Surface Area. For instance, a rectangular prism has 6 rectangular bases and lateral faces. So, the total surface area is the sum of the areas of all the 6 rectangles.
Instead of handing out math worksheets on the area to your children, involve them in home improvement projects. Inform them about the room that you are considering to paint. Ask them to calculate the total surface area of the walls, in order to find how much paint is required.
In geometry, an area can be defined as the total space inside a shape. The area of a shape is the number of unit squares that cover the surface of the shape.
The area of a shape is the number of squares required to cover it completely. That is why the area is measured in square units such as square centimeters, square feet, square inches, etc.
There are many instances in real life where we use the area, like finding the floor area to find the right size carpet or to cover it with tiles. We also find the area of the wall while painting or covering it with wallpaper.
1. Ask the child to take any shape (say square or rectangle) and trace the image on a grid paper made of small squares. 2. Ask the child to count the number of squares covered by the shape. 3. The last step is to explain to the child that the number of squares counted is the space or the area occupied by the shape.