# RS Aggarwal Class 8 Solutions Chapter 15

## RS Aggarwal Solutions for Class 8 Chapter 15 – Quadrilaterals PDF

### RS Aggarwal Class 8 Maths Solutions Chapter-wise – Free PDF Download

The correct answers to all of the exercise questions can be found in the RS Aggarwal Class 8 Solutions Chapter 15 “Quadrilaterals.” There is only one exercise with 9 questions in this section of RS Aggarwal Class 8 Solutions. But all of these questions will give you a solid foundation for geometry topics like area, constructions, quadrilaterals, and lines and angles.

In this chapter, you’ll find out what quadrilaterals are and how they work. You will learn about a quadrilateral’s sides that are next to each other, sides that are opposite each other, angles, vertices, and sides. The angle sum property is a very important idea in this chapter that will help you in future classes as well. To remember the formulas and properties talked about in the chapter, it is very important to do the chapter’s exercises.

We have experts on Class 8 Maths here at Utopper who have solved all of the problems in this chapter’s exercises for you. You will understand the topics better if they are explained well and have the right diagrams. We follow the CBSE Class 8 Maths syllabus to the letter and make sure that all of the answers match the exam pattern.

Utopper is a website where students can get free Reference Book Solutions and other study materials like Revision notes, Sample papers, and Important Question class 8. Science and Maths will be easier to learn if you have access to RS Aggarwal Solutions for Class 8 and solutions for other courses.

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**RS Aggarwal Class 8 Solutions Chapter 15 – Quadrilaterals**

**RS Aggarwal Class 8 Solutions Chapter 15 – Quadrilaterals**

**RS Aggarwal Class 8 Solutions**

## Chapter-1 Rational Numbers

## Chapter-2 Exponents

## Chapter-3 Squares and Square Roots

## Chapter-4 Cubes and Cube Roots

## Chapter-5 Playing with Numbers

## Chapter-6 Operations on Algebraic Expressions

## Chapter-7 Factorisation

## Chapter-8 Linear Equations

## Chapter-9 Percentage

## Chapter-10 Profit and Loss

## Chapter-11 Compound Interest

## Chapter-12 Direct and Inverse Proportions

## Chapter-13 Time and Work

## Chapter-14 Polygons

## Chapter-15 Quadrilaterals

## Chapter-16 Parallelograms

## Chapter-17 Construction of Quadrilaterals

## Chapter-18 Area of a Trapezium and a Polygon

## Chapter-19 Three-Dimensional Figures

## Chapter-20 Volume and Surface Area of Solids

## Chapter-21 Data Handling

## Chapter-22 Constructing and Interpreting Bar Graphs

## Chapter-23 Pie Charts

## Chapter-24 Probability

## Chapter-25 Graphs

#### Download a free PDF of RS Aggarwal Class 8 Solutions Chapter 15

Students can’t solve problems from RS Aggarwal Class 8 Solutions Chapter 15 if they don’t have the right skills and a strong grasp of math and geometry. The formulas for RS Aggarwal Class 8 Solutions Quadrilaterals are thought to be one of the most difficult parts of the chapter. The best way to learn this chapter is to regularly work on a lot of questions from different exercises.

For help with these questions, look at the free PDF version of RS Aggarwal Class 8 Solutions Chapter 15 from Utopper, which you can find online. This PDF has the answers to all of RS Aggarwal’s Chapter 15 Class 8’s questions and problems. The PDF gives clear, complete explanations of how to solve the problems. With this PDF, students can improve their skills.

##### How to Start with Quadrilaterals

Chapter 15 of RS Aggarwal Solutions for Class 8 is about quadrilaterals. The quadrilateral is a hard chapter in the subject of geometry. Let’s talk about a few things that students will learn while studying this chapter:

- A quadrilateral is a polygon with four sides and four corners.
- Quadrilaterals come in six different shapes: square, rectangle, parallelogram, rhombus, kite, and trapezium. All six of these shapes have four corners, four sides, and four angles.
- When you add up a quadrilateral’s four angles, you get a total of 360 degrees. This number comes from the equation for the angles inside the polygon, which is (n – 2) x 180.

##### A quadrilateral’s sides and angles

Most of the time, the sides and angles of quadrilaterals are different lengths and sizes. In rare situations, however, some of the sides and angles are the same. For example, in a square, all of the sides and angles are the same. In a rectangle, only the opposite sides are the same, but all of the angles are the same. Because different quadrilaterals have different parts, the area of a quadrilateral is different for each quadrilateral.

##### Special Types of Quadrilaterals

- Rectangle: It is a four-sided shape where all of the angles on the inside are 90°. In a rectangle, the sides on either end are always the same length.
- Square: A square is a four-sided shape with all angles on the inside equal to 90°. It has four equal sides.
- Rhombus: A rhombus is a square with a small change. It has four sides that are all the same length, but the sides that are opposite each other are straight.
- Parallelogram: A parallelogram is a rectangle that has been changed in a small way. All its opposite sides are equal and parallel.
- Trapezium: It is a four-sided shape with any two of its sides going in the same direction.
- Kite: It is a four-sided shape with equal sides next to each other.

##### How to calculate the area of some quadrilaterals

- Area of a Square – (side)²
- Area of a Rectangle – Length x Breadth
- Parallelogram Area = Base x Height
- Area of a Trapezium – { (Sum of two opposite sides / 2) x Height }
- Area of a Rhombus – Product of two diagonals / 2
- Area of a Kite – Product of two diagonals / 2

#### Some quadrilaterals’ perimeter formulas

Every quadrilateral has the same perimeter formula, which is the sum of all four sides. When you add up all four sides of a quadrilateral, whether they are all the same length or not, you get the quadrilateral’s perimeter.

All of these ideas seem hard to understand, but for students to become experts in this area, they need to work on problems from RS Aggarwal Class 8 Chapter 15. Remember to use Utopper’s RS Aggarwal Solutions for Class 8 Chapter 15 as a guide when you work on these problems.

Students’ skills will get better and their core knowledge will be stronger if they work on and solve different problems often. With the help of RS Aggarwal Class 8 Solutions Chapter 15, this practice is easier to do.

## FAQ ( Frequently Asked Questions )

**1. What is a Parallelogram?**

Ans – A parallelogram is a four-sided shape with two sets of sides that are parallel to each other. Both sides that are parallel to each other are the same length. In this Chapter, both angles are measured the same way. The two diagonals that make up the shape meet in the middle. This means that they both cut each other in the same way. The rectangle is a parallelogram that forms 90-degree angles at each corner of a quadrilateral.

**2. List all of the important topics that are talked about in the quadrilaterals chapter.**

Ans – Definition of –

- a) Quadrilaterals
- b) Rectangle
- c) Square
- d) Rhombus
- e) Parallelogram
- f) Trapezium
- g) Kite
- Properties of Quadrilaterals, parallelograms, and Rhombus
- Rectangle, square, and parallelogram diagonals.
- How to find the area of certain quadrilaterals with formulas
- To figure out the perimeter of any quadrilateral, you use the same formula, which is the sum of all four sides.

**3. What is a quadrilateral, and what are some of the different kinds?**

Ans – A quadrilateral is a closed two-dimensional shape with four sides and four points. In every quadrilateral, students can find four angles. The sum of these four angles always adds up to 360°. Quadrilaterals can be put into too many different groups, so there are many different kinds of quadrilaterals in math. Some of the most common are the square and rectangle, the rhombus, the parallelogram, the trapezium, and the kite. There may be more types of these special types within themselves.

**4. What are parallelogram properties and how does it work?**

Ans – In a parallelogram, the angles next to each other are complementary. This means that the sum of the angles next to each other is 180 degrees. Each diagonal of a parallelogram cuts the shape into two triangles that are the same. A parallelogram can also be a square or a rectangle. If one angle is right, then all of the angles must also be right. Opposite sides and angles are congruent. The RS Aggarwal class 8 solutions can tell the students more about them.