Area of Shapes
Geometric shapes are the figures with a set of points connected by lines resulting in a closed figure.
For example, triangle, square, rectangle and quadrilateral are shapes with 3 and 4 points connected by lines. Shapes with bounded curves don’t have sides but have the circumference.
Mirrors of different shapes with sides and curves.
Area
The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape. We calculate the area for different shapes using math formulas.
In the following pictures, the shaded region denotes the area for the respective shapes.
Name & Shape  Properties  Area 
Circle 

A = πr2 π = 3.14 (constant) 
Triangle 

A = ^{1}⁄_{2} × Base × Height 
Square 

A = Length of Side^{2} 
Rhombus 

A = p × q 
Rectangle 

A = Length × Breadth 
Parallelogram 

A = Base × Height 
The “textured” region represents the area of the shape
Unit of measurement
The unit of measurement for the area is always the square of the unit in which lengths are given. The resultant unit is the product of the units of the given lengths.
Let’s take an example, the area of a square with side length 8 cm is:
Area = (Length of side)^{2}
Area = 8 cm × 8 cm
Area = 64 cm^{2}
Application
The application field of area formula is in architecture, land surveying, and map designing. The rescaled version of the area for a given place is useful in designing knowledge tools such as globes and geophysical maps. The area calculation for a twodimensional shape is the first step to interpret the volume of a threedimensional object such as cone, cylinder, ball, and cube.
Fun Facts

Related math vocabulary

Circumference

Irregular and regular shapes