The Perimeter and Area Exercise 6.2 solutions cover the area of triangles, trapeziums, and rhombuses from the new Ganita Manjari book. This page gives clear steps for the NCERT Solutions Class 9 Maths Chapter 6 Perimeter and Area Exercise 6.2, so you can check your own answers and learn the proof-style questions with ease.

  • Questions solved: all 11 questions of Exercise 6.2, on the area of flat shapes
  • Main skills: the trapezium area rule, the rhombus rule, and equal-area proofs
  • How it links: it builds on the circle work in 6.1 and leads to sectors in 6.3

These solutions are written by subject teachers, matched to the 2026-27 NCERT book, and checked line by line so a Class 9 student can follow each step.

Table of Contents

  1. What Does Chapter 6 Perimeter & Area Exercise 6.2 Cover
  2. Perimeter & Area Exercise 6.2 Question Breakdown
  3. Sample Solved Question from Exercise 6.2
  4. How to Use These Perimeter & Area Exercise 6.2 Solutions
  5. More Perimeter & Area Solutions

What Does Class 9 Maths Chapter 6 Perimeter and Area Exercise 6.2 Cover?

Exercise 6.2 is about the area of straight-sided shapes. You find the area of a triangle, a trapezium, and a rhombus using their standard rules. The set then moves to proof questions on parallelograms and midpoints. These proofs show why two shapes can have equal area even when they look different.

Video Walkthrough

Source: Vedantu CBSE 10th on YouTube

Perimeter and Area Exercise 6.2 Question Breakdown

The set has eleven questions that mix direct area sums with equal-area proofs. The table below shows what each question asks.

QuestionWhat it asks
Q1Find the area of a triangle from a given figure
Q2Find the area of an isosceles trapezium
Q3Find the area of a triangle from two sides
Q4Find the area when the sides are in a ratio
Q5Find the area of a rhombus from its diagonals
Q6Prove an equal-area result in a parallelogram
Q7Prove an area result using a point on a diagonal
Q8Prove a result about midpoints of a quadrilateral
Q9Prove an area split by a median in a triangle
Q10Prove an area result for a point inside a square
Q11Prove an area result using a midpoint of a side

Sample Solved Question from Exercise 6.2

Here is Question 2 from Exercise 6.2, solved step by step, so you can see the method.

Question: The parallel sides of a trapezium are 40 cm and 20 cm. Both non-parallel sides are equal, each 26 cm. Find its area.

Step 1. The longer side is 40 - 20 = 20 cm more than the shorter side. This extra length splits equally at the two ends, so each end overhang is 40-202 = 10 cm.

Step 2. Each slant side is the hypotenuse of a right triangle with base 10 cm. So the height is h = √262 - 102 = √676 - 100 = √576 = 24 cm.

Step 3. Put the values in the trapezium area rule 12(a+b) h = 12(40 + 20)× 24.

Final answer. Area = 12× 60 × 24 = 720 sq cm.

Quick Tip: Always use the perpendicular height in the area rule, not the slant side. Find the height with Pythagoras first, then apply 12(a+b) h.

How to Use These Perimeter and Area Exercise 6.2 Solutions

Collegedunia gives you the full Exercise 6.2 answers as short, checked steps. Solve each question on paper first, then open the solution to compare your method with ours.

  • For a proof, write each reason on its own line and match it with the Collegedunia solution.
  • Keep the area rules for a triangle, trapezium, and rhombus on a small card.
  • Redo any proof you found hard the next day without looking at the steps.

More Class 9 Maths Perimeter and Area Solutions

Use the table below to open the full chapter page or any other exercise of Perimeter and Area.

PageLink
Full Chapter SolutionsPerimeter and Area NCERT Solutions
Exercise 6.1Exercise 6.1 Solutions
Exercise 6.2Exercise 6.2 Solutions
Exercise 6.3Exercise 6.3 Solutions
End-of-ChapterEnd-of-Chapter Solutions

Perimeter and Area Exercise 6.2 NCERT Solutions FAQs

Ques. How many questions are there in Class 9 Maths Chapter 6 Exercise 6.2?

Ans. Exercise 6.2 has 11 questions on the area of triangles, trapeziums, and rhombuses, plus a few proofs. Collegedunia solves all of them with full steps.

Ques. Where can I download the Exercise 6.2 solutions PDF?

Ans. You can download the Perimeter and Area Exercise 6.2 solutions PDF from this page. Both the Normal and HD versions are free.

Ques. Which formulas do I need for Exercise 6.2?

Ans. Keep the trapezium area 12(a+b) h, the rhombus area 12 d1 d2, and the triangle area 12× base× height ready.

Ques. Are the proof questions in Exercise 6.2 hard?

Ans. No. Each proof is written in short steps with a reason on every line, so a Class 9 student can follow the equal-area idea on the first read.