![]() ![]() See our pages on circles and curved shapes for more.For a generic quadrilateral, the area can be calculated by decomposing the quadrilateral into triangles and applying the Heron's formula, which is given by:Īrea of ABC = the sides of the triangle are and denotes the semi-perimeter, where defined = look at an example.įind the area of the quadrilateral = 7 \ \text \approx 22.98 \ the area of the quadrilateral of PSR Area of \approx 27.72 22. For an irregular quadrilateral, there is only one angle property: the sum of the angles is equal to 360. The unknown angles of a quadrilateral can be easily calculated if the other angles are known because the interior angles of a quadrilateral always sum up to 360. There are different types of quadrilaterals such as the square, rectangle, rhombus, and so on. Any other polygon is an irregular polygon, which by definition has unequal length sides and unequal angles between sides.Ĭircles and shapes that include curves are not polygons - a polygon, by definition, is made up of straight lines. Quadrilaterals are four-sided polygons with four vertices and four interior angles. There are two main types of polygon - regular and irregular.Ī regular polygon has equal length sides with equal angles between each side. There are names for many different types of polygons, and usually the number of sides is more important than the name of the shape. The ‘poly-‘ prefix simply means ‘multiple’, so a polygon is a shape with multiple sides, in the same way that ‘polygamy’ means multiple spouses. ![]() It is one of the simplest shapes, and calculating its area only requires that its length and width. An Olympic heptathlon has seven events – a heptagon has seven sides. A rectangle is a quadrilateral with four right angles.The modern pentathlon has five events – a pentagon has five sides.A decade is ten years – a decagon has ten sides.Since we have found the shape to be an irregular quadrilateral, theres not much we can do other than use trigonometry, because we cant get an idea of what the shape looks like. Example: Find the area of a quadrilateral A B C D whose sides are 9 m, 40 m, 28 m and 15 m respectively and the angle between the first two sides is a right angle. The area of any irregular quadrilateral can be calculated by dividing it into triangles. Quadrilaterals or any polygons can be classified into two categories, regular quadrilaterals/polygons i.e., all sides are of equal length, and irregular quadrilaterals i.e., all sides are not equal. An octopus has eight legs – an octagon has eight sides. KhunpolJermsiri From the angles in your diagram, BC B C is not parallel to AD A D since 34º 13º 34 º 13 º. A plane figure bounded by four straight line segments is called an irregular quadrilateral.These can sometimes be useful in helping you remember how many sides a polygon has. The Greek numerical prefix occurs in many names of everyday objects and concepts. A quadrilateral that is not a specific type is called an irregular quadrilateral. The names of polygons are derived from the prefixes of ancient Greek numbers. The lengths and position of the edges help to identify the quadrilateral. 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.Įach of these will also be either equilateral, isosceles or scalene. The internal angles of a triangle always add up to 180°.Ī triangle with only acute internal angles is called an acute (or acute-angled) triangle. Triangles can also be described in terms of their internal angles (see our page on Angles for more about naming angles). Scalene – all three sides, and all three internal angles, are different.Isosceles – has two equal sides, with the third one a different length.Equilateral – all the sides are equal lengths, and all the internal angles are 60°.For more, see Trapezoid Trapezium vs Trapezoid) Trapezium (UK) or trapezoid (US): at least one pair of opposite sides are parallel. Scalene or irregular quadrilateral - Square - Rectangle - Parallelogram - Kite - Rhombus - Trapezium (US: Trapezoid) How does the set of quadrilaterals. (In British English, this was once called a trapezoid. ![]() The general formula of the area of a quadrilateral is base height, also written as bh and the unit of measurement is m 2. There are several different types of triangle (see diagram), including: Irregular quadrilateral ( British English) or trapezium ( North American English ): no sides are parallel. The area of the quadrilateral is the region enclosed by the four sides of this polygon. Three-Sided Polygons: TrianglesĪ three-sided polygon is a triangle. Polygons are usually defined by the number of sides that they have.
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