Whenever we talk around geometry, us talk about side lengths, angles, and areas the the shapes. We experienced the various other two before; stop talk about the latter. You gained to view so numerous mathematics exam questions regarding finding the shaded region of a specific polygon.

You are watching: What is the area of the polygon given below

For that, you require to have the knowledge of recipe of area for different kinds of polygons.

**In this article, you will learn:**

## What is the Area that a Polygon?

In geometry, the area is characterized as the an ar occupied inside the boundary of a two-dimensional figure. Therefore,** the area of a polygon is the total space or an ar bound through the political parties of a polygon.**

The traditional units because that the measure up of the area are square meters (m2).

## How to discover the Area that a Polygon?

**Regular polygons** such together rectangles, squares, trapeziums, parallelograms, etc., have pre-defined formulas because that calculating their areas.

However, because that an** irregular polygon**, the area is calculated by subdividing an rarely often, rarely polygon into small sections of regular polygons.

### Area of a regular polygon

Calculating a consistent polygon area can be as straightforward as detect the area the a continual triangle. Consistent polygons have actually equal side lengths and also an equal measure of angles.

There room **three methods of calculating the area the a continual polygon**. Each an approach is supplied on different occasions.

The area of a consistent polygon deserve to be calculated using the principle of apothem. The apothem is a heat segment that joins the polygon’s center to the midpoint of any kind of side the is perpendicular to the side. Therefore, the area the a constant polygon is given by;

A = 1/2 . Ns . A

where ns = the perimeter the the polygon = amount of every the next lengths that a polygon.

a = apothem.

See more: How Long Do Football Games Last ? How Long Is A Football Game

Consider a pentagon presented below;

Therefore, *ABED* is a rectangle, and also *BDC* is a triangle.

Area of rectangle = together * w

= 20 * 8 = 160 cm2

Area the the triangle = 1/2 . B . H

The height the triangle can be calculate by using the Pythagoras theorem. Because that instance,