NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.1 Mensuration - PDF Download

NCERT solutions for class 8 maths chapter 9 ex 9.1 mensuration provides an in-depth analysis of area of trapezium, general quadrilateral and polygon. The difficulty with this exercise lies in the fact that there is no single formula that can be used. Rather, the formula is a general concept that must be applied to the specific question. In order to solve such problems, there are certain methods that can be used, however, the most important factor is to instill a solid mathematical foundation. Class 8 maths chapter 9 exercise 9.1 NCERT solutions comprises a total of 11 questions. The difficulty level of questions are medium to complex. 

The questions are in the form of word problems, where students have to find the area of two shapes or figure out how to solve a problem based on a certain polygon. The most important point to keep in mind when solving the questions is that you need to be familiar with the formulas for shapes like rectangle, square, triangle, circle etc. NCERT solutions for ex 9.1 class 8 maths chapter 9 are prepared by our subject experts of eSaral. These solutions will provide you in-depth understanding of areas related to polygon. Ex 9.1 class 8 maths ch 9 solutions are available in PDF format to download from eSaral. You can download these free PDFs and practice the questions offline anytime.

Topics Covered in Exercise 9.1 Class 8 Mathematics Questions

NCERT solutions for class 8 maths chapter 9 ex 9.1 mensuration is based on the topic finding the area of polygon. This topic is elaborated in detailed form here on eSaral.

1. Important points to Remember

Mensuration - It refers to the measurement of area, perimeter, and volume of plane and solid figures.

Area - The area of the figure's border line corresponds to the area of the plane shape. 

Perimeter - The length of the plane shape is called the perimeter.

Area and Perimeter of Rectangle 

Area of Rectangle = Length × Breadth

Perimeter of Rectangle = 2(Length + Breadth)

Area and Perimeter of Square

Area of Square = (Side)2

Perimeter of Square = 4 × Side

Area and Perimeter of Triangle

Area of Triangle = ½basehight,   

Perimeter of Triangle = a x b x c,     where a,b,c are the sides of a triangle

Area and Perimeter of Circle

Area of Circle = r2

Perimeter of Circle = 2r

Area of Trapezium by using formula

Area of Trapezium = ½(a+b)h

Area of Rhombus by using formula

Area of Rhombus = ½ d1d2

2. Area of a Polygon - Since there is no specific formula for determining the area of a polygon, it is necessary to divide the polygon into multiple figures, such as a triangle, a rectangle, a trapezium, etc. The area of the desired polygon is obtained by adding the area of all of the split figures.

Tips for Solving Exercise 9.1 Class 8 Chapter 9 Mensuration

NCERT solutions class 8 maths chapter 9 ex 9.1 mensuration includes questions which require some methods and tips to solve them. Here, you will learn these tips provided by our subject experts of eSaral.

1. To solve questions of ex 9.1 NCERT solutions class 8 maths chapter 9 mensuration, you need to learn and remember some of the important formulas which are described in above topics.

2. You also must understand the concepts of polygon and different shapes to be well-versed with the questions.

3. Practicing more questions and examples will also give you clear understanding of these formulas.

Importance of Solving Ex 9.1 Class 8 Maths Chapter 9 Mensuration

Here are some advantages of NCERT solutions class 8 maths chapter 9 ex 9.1.

1. Class 8 maths  ex 9.1 chapter 9 offered step-by-step solutions to all the concepts related to polygons and their area and perimeter to help students understand how to answer questions on the exam.

2. NCERT solutions provided by subject experts of eSaral, enable students to develop advanced problem-solving skills, which in turn contributes to achieving high scores in exams.

3. Students acquire time management skills through practicing, as practicing enables them to answer any question in a timely manner.

4. NCERT solutions for class 8 maths chapter 9 ex 9.1 are the most trustworthy study materials because they are prepared by an academic team of experts allowing students to solve questions in correct way.

Frequently Asked Questions

Question 1. Write the formula to find the area of trapezium?

Answer 1. Area of trapezium = ½(a+b)h

Question 2. How do we find the area of polygon in NCERT solutions class 8 maths ex 9.1 chapter 9 mensuration?

Answer 2. We know that there is no specific formula for determining the area of a polygon, it is necessary to divide the polygon into multiple figures, such as a triangle, a rectangle, a trapezium, etc. The area of the desired polygon is obtained by adding the area of all of the split figures.

Question 3. Write the formula of rhombus?

Answer 3. The formula of rhombus = ½ d1d2