# Area of a Shape – Definition with Examples

## 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.

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 cm2

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 two-dimensional shape is the first step to interpret the volume of a three-dimensional object such as cone, cylinder, ball, and cube.

Related Math Vocabulary

## Frequently Asked Questions

To find the area of an irregular shape, divide the shape into unit squares. Count the number of squares that cover the shape completely. If the shape does not occupy complete unit squares, estimate the number of unit squares that will fill it.

The area of any shape is the space occupied by it on a plane surface. Therefore, area is a two-dimensional quantity as well.

Area of a parallelogram = Base × Height

The space inside the boundary of a two-dimensional shape is known as area, whereas the space occupied by a 3-dimensional object is its volume.