draw different types of polygons and find the area of the figure formed with exact measurement ( please explain me in your copy)
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Polygon is part of our everyday life. We use things which are in any form or shape, most of them are polygons. In this chapter, we will explore elaborately about polygon and its types.
This page examines the properties of two-dimensional or ‘plane’ polygons. A polygon is any shape made up of straight lines that can be drawn on a flat surface, like a piece of paper. Such shapes include squares, rectangles, triangles and pentagons but not circles or any other shape that includes a curve.
Understanding shapes is important in mathematics. You will certainly be required to learn about shapes at school but understanding the properties of shapes has many practical applications in professional and real-life situations too.
Many professionals need to understand the properties of shapes, including engineers, architects, artists, real-estate agents, farmers and construction workers.
You may well need to understand shapes when doing home improvements and DIY, when gardening and even when planning a party.
When working with polygons the main properties which are important are:
The number of sides of the shape.
The angles between the sides of the shape.
The length of the sides of the shape.
Number of Sides
Polygons are usually defined by the number of sides that they have.
Three-Sided Polygons: Triangles
A three-sided polygon is a triangle. There are several different types of triangle (see diagram), including:
Equilateral – all the sides are equal lengths, and all the internal angles are 60°.
Isosceles – has two equal sides, with the third one a different length. Two of the internal angles are equal.
Scalene – all three sides, and all three internal angles, are different.
Triangles can also be described in terms of their internal angles (see our page on Angles for more about naming angles). The internal angles of a triangle always add up to 180°.
A triangle with only acute internal angles is called an acute (or acute-angled) triangle. One with one obtuse angle and two acute angles is called obtuse (obtuse-angled), and one with a right angle is known as right-angled.
Each of these will also be either equilateral, isosceles or scalene.

Four-Sided Polygons - Quadrilaterals
Four-sided polygons are usually referred to as quadrilaterals, quadrangles or sometimes tetragons. In geometry the term quadrilateral is commonly used. The term quadrangle is often used to describe a rectangular enclosed outdoor space, for example ‘the freshers assembled in the college quadrangle’. The term tetragon is consistent with polygon, pentagon etc. You may come across it occasionally, but it is not commonly used in practice.
The family of quadrilaterals includes the square, rectangle, rhombus and other parallelograms, trapezium/trapezoid and kite.
The internal angles of all quadrilaterals add up to 360°.

Square: Four sides of equal length, four internal right angles.
Rectangle: Four internal right angles, opposite sides of equal length.
Parallelogram: Opposite sides are parallel, opposite sides are equal in length, opposite angles are equal.
Rhombus: A special type of parallelogram in which all four sides are the same length, like a square that has been squashed sideways.
Trapezium (or trapezoid): Two sides are parallel, but the other two sides are not. Side lengths and angles are not equal.
Isosceles Trapezium (or trapezoid): Two sides are parallel and base angles are equal, meaning that non-parallel sides are also equal in length.
Kite: Two pairs of adjacent sides are of equal length; the shape has an axis of symmetry.
Irregular Quadrilateral: a four-sided shape where no sides are equal in length and no internal angles are the same. All internal angles still add up to 360°, as with all other regular quadrilaterals.
More than Four Sides
A five-sided shape is called a pentagon.
A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides