EDUCATION

Comprehensive derivation of the formula of area of trapeziu

Comprehensive derivation of the formula of area of trapeziu
Written by Purva Jagtap

 The area of trapezium is considered to be the region covered by that particular trapezium into a two-dimensional plane and this will be the space and close in 2d geometry. The trapezium is a two-dimensional shape that will fall under the category of quadrilaterals and similar to all other kinds of shapes it will also have different kinds of formulas and properties depending upon area and perimeter which the students need to get through so that they can become masters of this particular subject and can have a clear-cut idea about the utilisation of different kinds of formula.

 The trapezium will be a quadrilateral that has been defined as a shape that has four sides and one side of parallel sides. Apart from this, there are different kinds of quadrilaterals as well.

 The very basic concept of trapezium has been mentioned as follows:

 The pair of parallel sides will be considered as the base and the non-parallel sides will be considered as the legs of the trapezoid.

 The line segment will help in connecting the midpoints of the non-parallel sides of the trapezium and will be known as the midpoint segment.

 It is very much important for people to have a clear-cut idea about the parallel and on parallel sides so that they can implement different kinds of formulas perfectly.

 The area of trapezium has been perfectly explained as follows:

 The area is equal to 1/2 h (ab + cd)

 The comprehensive derivation about the area of trapezium has been explained as follows:

 The area of the trapezium will be equal to the sum of the areas of two triangles and the area of the rectangle into it. So, the area of trapezium will be an area of triangle 1 plus the area of rectangle plus the area of triangle 2.

 This will mean that:

 A= ah/2 + b1h +ch/2

 A= ah plus 2b1h plus ch /2

 Simplifying this particular equation and indulging in the right kind of factoring the students will get the right kind of answer which will be based upon area is equal to

 H/2 (b1 + b2)

 The concept has been perfectly utilised in different kinds of physics computations as well as mathematical calculations. The very basics of the equation of motion have been perfectly based upon trapezium and further, it is very much important to depend upon different kinds of systems and equations as well so that students can have a clear-cut idea about the whole concept. This particular derivation can even be undertaken with the help of a parallelogram:

 First of all the individuals need to consider two different but identical trapezium and then they need to multi parallel sides with an as well as b tags. After this, it will have the length of each. Assuming that they will be the area of trapezium the people need to consider what has been inverted direction rather than the other one and now they have to add up to be trapezium. After this, the individuals need to figure out what will become the parallelogram and if the base has been converted into A+ B the area of parallelogram will be very much simple than base into height. So, congratulations the students have successfully derived the area of a trapezium with the help of a parallelogram as well.

 Hence, there is no need to worry whenever the students face any kind of issue because nowadays with the advancement of technology there are several kinds of online platforms that are very much successful in terms of clearing the doubts of the students in the whole process. One such great platform is cuemath.com on which the parents must enrol their students so that they become masters of the field of the trapezium and other areas of mathematics. Being aware of the concept of the trapezium and other shapes is very much important to become successful in this particular area and fetch good marks.

About the author

Purva Jagtap

Leave a Comment