Last Updated on December 14, 2024 by XAM CONTENT
Hello students, we are providing case study questions for class 6 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 6 maths. In this article, you will find case study questions for CBSE Class 6 Maths Chapter 6 Perimeter and Area. It is a part of Case Study Questions for CBSE Class 6 Maths Series.
| Chapter | Perimeter and Area |
| Type of Questions | Case Study Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 6 |
| Subject | Maths |
| Useful for | Class 6 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 6 Maths Chapterwise Case Study |
Case Study Questions on Perimeter and Area
Questions
The figure below shows a square wooden frame enclosing a square picture.
Q. 1. What is the area (in cm2) of the frame?
(a) 81
(b) 144
(c) 181
(d) 225
Ans. Option (a) is correct.
Explanation: Area of frame
= area of outer square – area of inner square
= 152 – 122
= 225 – 144
= 81 cm2
Q. 2. What is the perimeter (in cm) of the picture?
(a) 12
(b) 48
(c) 60
(d) 144
Ans. Option (b) is correct.
Explanation: Perimeter of square = 4a = 4 × 12 = 48 cm
Topics from which case study questions may be asked
- Perimeter
- Area
Case study questions from the above given topic may be asked.
Learning Objectives
- Perimeter of any closed shape.
- Area of any closed shape.
Understanding Perimeter and Area
Perimeter: The distance covered along the boundary forming a closed figure when you go around the figure once. Perimeter can be calculated as the length of boundary.
A closed figure in which all sides and angles are equal is called a regular polygon.
Perimeter is the distance covered along the boundary forming a closed
figure when you go around the figure once.
The idea of perimeter is widely used in our daily life.
• A farmer who wants to fence his field.
• An engineer who plans to build a compound wall on all sides of a house.
• A person preparing a track to conduct sports.
Perimeter of a rectangle:
Perimeter of a rectangle = length + breadth + length + breadth
So, Perimeter of a rectangle = 2 × (length + breadth)
Perimeter of regular shapes:
Figures in which all sides and angles are equal are called regular closed figures.
Example: Square, equilateral triangle, pentagon etc.
Perimeter of a square = 4 × length of a side.
Perimeter of an equilateral triangle = 3 × length of a side
Perimeter of a regular pentagon = 5 × length of one side
Area: Amount of surface enclosed by a closed figure.
The amount of surface enclosed by a closed figure is called its area.
To estimate the area of a figure by counting squares, the following conventions are adopted:
• Ignore portions of the area that are less than half a square.
• If more than half a square is in a region. Count it as one square.
• If exactly half the square is counted, take its area as 1/2 sq. units.
Such a convention gives a fair estimate of the desired area.
Area of a Rectangle:
Area of a rectangle = (length × breadth)
Area of a Square:
Area of the square = side × side
If the sides are in centimetre (cm), the unit of perimeter is also in centimetre. Similarly, if the sides are in meters (m), the unit of perimeter is also in meter.
Frequently Asked Questions (FAQs) on Perimeter and Area Case Study
Q1: What is the perimeter of a shape?
A1: The perimeter of a shape is the total length of its boundary.
It is calculated by adding the lengths of all sides of the shape.
Example: The perimeter of a rectangle = 2 × (length + breadth)
Q2: What is the area of a shape?
A2: The area of a shape is the amount of surface it covers.
It is measured in square units like cm2, m2 etc.
Example: The area of a rectangle = length × breadth
Q3: What are the units of perimeter and area?
A3: Perimeter: Measured in linear units like cm, m, or km.
Area: Measured in square units like cm2, m2, or km2
Q4: What is the perimeter of a triangle?
A4: The perimeter of a triangle is the sum of the lengths of its three sides.
Formula: Perimeter = side 1 + side 2 + side 3
Q5: Can two different shapes have the same area?
A5: Yes, two different shapes can have the same area but different perimeters.
Example: A square with side 4 cm and a rectangle with length 8 cm and breadth 2 cm both have an area of 16 cm2, but their perimeters differ.
Q6: How do you calculate the perimeter of irregular shapes?
A6: To calculate the perimeter of an irregular shape, add the lengths of all its sides.
Example: For an irregular pentagon with sides 3 cm, 4 cm, 5 cm, 6 cm, and 7 cm,
Perimeter = 3 + 4 + 5 + 6 + 7 = 25 cm
Q7: What is the difference between perimeter and area?
A7: Perimeter: The total length of the boundary of a shape.
Area: The total surface covered by the shape.
Q8: How do you find the area of a figure with missing measurements?
A8: If some measurements are missing, use the given dimensions and formulas to calculate the unknown lengths or areas. Divide the figure into smaller known shapes (like rectangles or squares) and calculate their areas individually.
Q9: What are some real-life applications of perimeter and area?
A9: Perimeter: Fencing a garden, framing a picture, or marking boundaries.
Area: Painting walls, tiling floors, or laying carpets.
Q10: Are there any online resources or tools available for practicing “Perimeter and Area” case study questions?
A14: We provide case study questions for CBSE Class 6 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.
