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Class 8 RS Aggarwal Maths Area of a Trapezium and a Polygon Solutions - Free PDF Download

Last updated date: 13th Jun 2024
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RS Aggarwal Maths Area of a Trapezium and a Polygon Solutions

The 18th chapter in the Class 8 Maths syllabus is on Areas of Trapezium and Polygons. The fundamental properties of polygons and trapezium are explained in this chapter. The RS Aggarwal Class 8 Maths Chapter 18 solutions are available in PDF format and can be downloaded for free from Vedantu. The sums given in the exercise of this chapter are solved and explained in a stepwise manner in the RS Aggarwal Solutions Class 8 Chapter 18 PDF. These solutions are prepared by the highly experienced teachers at Vedantu according to the latest guidelines of CBSE.

By referring to these RS Aggarwal Solutions Class 8 Chapter 18 you will be able to understand the concepts of trapezium and polygons easily. Every solution in this PDF has been prepared using simple techniques so that you can understand and apply the concept related to it. Hence, download this PDF and learn how to solve different types of sums related to calculating the area of polygons and trapezium.

Vedantu is a platform that provides free NCERT Solution and other study materials for students. Download Class 8 Maths and Class 8 Science NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations.

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Area of Trapezium: An Overview

The trapezium is a closed two-dimensional figure with two parallel sides. It is made up of four sides and four vertices. The trapezium's parallel sides are termed bases, while the non-parallel sides are called legs. Basic concepts: 

  • The parallel sides of the trapezium are the bases, and the non-parallel sides are the legs.

  • The midpoint is a line drawn from the intersection of non-parallel sides.

  • The arrows and equal marks in the diagram indicate that the lines are parallel and that the lengths of the sides are equal.

  • If you cut the trapezium in half from the middle of the non-parallel sides, it will be separated into two unequal portions.

  • The two non-parallel sides of an isosceles trapezium are equal and produce equal angles on the bases.

Calculating the Area of Trapezium

The area of a trapezium is equal to half the sum of its parallel sides and height. The formula for the area of a trapezium is 12 × ​sum of parallel sides × ​times distance between them =12×(b1×b2)×h

The trapezium notion can be used in a variety of ways. In physics, it is used to solve numerous trapezium-related queries, whilst in mathematics, it is used to solve a variety of questions based on surface area or to find the complex figure area or perimeter. The trapezium formula can also be utilized in construction, as the roof shape is trapezoidal. It has a wide range of uses in everyday life.

RS Aggarwal Solutions for Class 8 Maths Chapter 18 Area of Trapezium and Polygons: RS Aggarwal Class 8 Chapter 18 Solution

After completing solving this chapter in the NCERT mathematics textbook, proceed to solve the questions of Class 8 RS Aggarwal Chapter 18. Students generally do it to grab more concepts related to this topic and get accustomed to different types of questions. 

In the first exercise, the questions will focus on checking how you have learned to use the formulas described in this chapter. The preliminary questions will ask you to determine the area of trapeziums by just replacing the values of the terms in the formula. As you move forward, you will have to frame an equation to find out the unknown quantity cited in the questions. To solve these questions by framing the right equations, you will have to concentrate on learning the formulas. This will help you to replace the term with a variable and to form an equation. Follow the RS Aggarwal Solutions Class 8 Maths Ch 18 to learn how to formulate the answers easily.

In the same exercise, the hints will become more critical. You will have to focus on drawing the hints into a geometric figure to visualize the problem. It will help you solve the problem easily. As per the experts, drawing figures for geometric problems solves half of the problems. If you follow the RS Aggarwal Class 8 Maths Solutions Chapter 18, you will discover how the teachers have niftily used a diagram to make you understand the problem and to explain the solution.

You will be asked questions about quadrilaterals and polygons in the next exercise. The geometric figures in this case may or may not be regular. You'll need to focus on applying the basic formulas you learned earlier and in this chapter. You'll utilize the formulas for calculating triangle areas in most of the polygon-related problems. Proceed to tackle these problems one by one, and use RS Aggarwal Class 8 Solutions Maths Chapter 18 to answer your questions. You'll also notice that the formulae or expressions used to calculate a polygon's area are becoming increasingly complicated. Pay close attention to each term in the expression to prevent making errors.

In the next exercise, the questions will recall all the formulas you have learned regarding areas of different types of triangles, rhombus, and parallelograms. Recognize the geometric shapes and catch the hints so that you can use these formulas accordingly. Class 8 RS Aggarwal Chapter 18 is all about recapitulating all the area-based formulas and learning new ones. All the Exercise questions with solutions in Chapter-18 Area of a Trapezium and a Polygon are given below:

Exercise (Ex 18A) 18.1

Exercise (Ex 18A) 18.2

Exercise (Ex 18A) 18.3

Tips to Prepare Class 8 RS Aggarwal Chapter 18

You have now understood that this chapter focuses on teaching new area formulas of polygons and trapezium along with the recap of all the area formulas you have studied before. It is time to recall these formulas and jot down the new ones first. Learn how these formulas are determined so that you can understand the meaning of each term used.

Pay attention to the solution of every question in the exercises of RS Aggarwal Class 8 Maths Chapter 18 and learn how to use the new concepts. Practice using the solutions compiled by expert teachers.

FAQs on Class 8 RS Aggarwal Maths Area of a Trapezium and a Polygon Solutions - Free PDF Download

1. How can you benefit from using RS Aggarwal Solutions Class 8 Chapter 18?

The easiest and simplest methods of solving the critical sums of RS Aggarwal Solutions Class 8 Chapter 18 have been demonstrated and explained by our teachers in the solutions PDF. These sums are easier to solve when you know the tricks and techniques. You can benefit from this solution’s PDF by using it as a reference while practicing the sums given in this chapter to clarify your doubts.

One of the major benefits of solving questions from RS Aggarwal Class 8 Chapter 18 is that you get to learn from beyond the regular syllabus. The exercises include all types of questions that give the students an elaborate and deep knowledge of the concepts.

2. Why should you download these solutions for RS Aggarwal Class 8 Chapter 18 from Vedantu?

Vedantu is among the most-trusted education portals. Every sum in the RS Aggarwal Solutions Class 8 Maths Ch 18 is solved in a detailed stepwise manner as per the guidelines of CBSE Class 8. These solutions are easy to understand and students can download them for free of cost from Vedantu. Students can solve the sums on their own and verify the answers by comparing them with these solutions for a better assessment of their learning. One can find the notes for all the chapters in the class 8 Maths book on the Vedantu app or website. These notes are very carefully created for students who aim to leave no space for losing marks. Along with elaborative notes, you can also get your hands on previous years’ question papers to practice and test your knowledge. By going through these, you will be more confident and thorough with your preparation for your Class 8 Maths exam.

3. Can I download the RS Aggarwal Solutions Class 8 Maths Ch 18 for free from Vedantu?

Yes, the RS Aggarwal Solutions Class 8 Maths Chapter 18 can be downloaded for free from Vedantu. You can also sign up for online classes on Vedantu to get better assistance for understanding this chapter. You can download the PDF from anywhere, anytime. All you have to do is sign in to the website/app. 

4. Is it necessary to study from reference books before the Class 8 Maths exam?

If you have completed all the book exercises from the Class 8 NCERT Maths book and have also solved the example questions carefully, then you start referring to reference books. These books serve the students with a higher difficulty level. The benefit of reference books is that they can help you practice a variety of questions. So, if you don’t want to leave any stone unturned for your exam preparation, reference books are the way to go!

5. What are the different kinds of trapeziums in Class-8 Maths?

A trapezium is a closed two-dimensional figure with two parallel sides. It is made up of four sides and four vertices. The trapezium's parallel sides are termed bases, while the non-parallel sides are called legs. Trapeziums are major of 3 types:

  • The sides and angles of the Scalene Trapezium are all different sizes. The scalene trapezium is only a trapezoid, as seen in the diagram below.

  • Isosceles Trapezium: If any two pairs of sides in a trapezium are equal, such as bases or legs, the trapezium is isosceles.

  • Right Trapezium: At least two of the angles in a right trapezium, i.e. 90°, are right angles.