How many practice questions are available for Perimeter & Area?

SparkEd Math offers 60+ practice questions for Perimeter & Area across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Perimeter & Area content free on SparkEd Math?

Yes! All Perimeter & Area content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Perimeter & Area differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Perimeter & Area problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Perimeter & Area content aligned with the CBSE syllabus?

Yes, all Perimeter & Area questions and lessons on SparkEd Math are fully aligned with the Central Board of Secondary Education (CBSE) syllabus for Class 6. The content follows the official curriculum structure and exam pattern.

Perimeter & Area — Class 6 CBSE (2025-26)

About Perimeter & Area — Class 6 CBSE

Calculate perimeter and area of squares, rectangles, triangles, and composite figures. This topic is part of the CBSE Class 6 mathematics syllabus (chapter: Chapter 6). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Perimeter & Area

Introduction to Perimeter: Measuring Boundaries
Perimeter of Rectangles and Squares: Using Formulas
Introduction to Area: Covering Surfaces
Area of Rectangles and Squares: Using Formulas
Compound Shapes, Unit Conversion & Practice

Interactive lesson · about 15 minutes · checkpoint question after every unit

Perimeter & Area — solved examples for Class 6 CBSE

Example 1easy

Which of the following statements correctly describes the perimeter of a shape?

A)A. The amount of space a shape covers on a flat surface.
B)B. The total length of its boundary.
C)C. The measure of its internal angles.
D)D. The distance from the center to any point on its boundary.

Step-by-step solution

Perimeter is defined as the total distance around the outside edge of a two-dimensional shape.
Option A describes area, Option C describes angles, and Option D describes a radius for a circle, not a general perimeter definition.

Answer: B. The total length of its boundary.

Example 2medium

A rectangular garden is 25 meters long and 15 meters wide. A gardener wants to put a fence around it. What is the total length of the fence needed?

A)40 m
B)50 m
C)80 m
D)100 m

Step-by-step solution

Length (l) of the garden = 25 m.
Breadth (b) of the garden = 15 m.
The total length of the fence needed is the perimeter of the rectangle.
$Perimeter = 2 × (l + b)$
Perimeter = 2 × (25 m + 15 m) = 2 × 40 m = 80 m.

Answer: 80 m

Example 3hard

A rectangular park has a length of 50 m and a width of 30 m. A square flower bed of side 10 m is built exactly in the center of the park. If the remaining area of the park is to be covered with grass, what is the area of the grass-covered region?

A)1500 m²
B)1400 m²
C)1300 m²
D)1200 m²

Step-by-step solution

Calculate the area of the rectangular park.
$Area of park = Length × Width = 50 m × 30 m = 1500 m²$
Calculate the area of the square flower bed.
$Area of flower bed = Side × Side = 10 m × 10 m = 100 m²$
Subtract the area of the flower bed from the area of the park to find the grass-covered area.
$Grass area = Area of park - Area of flower bed = 1500 m² - 100 m² = 1400 m²$

Answer: 1400 m²

Practice questions on Perimeter & Area

Q1.easy
Ravi is calculating the perimeter of a square with a side length of 7 cm. He writes: Perimeter = 7 cm × 7 cm = 49 cm². What is the mistake in Ravi's calculation?
1. A)A. The side length is incorrect.
2. B)B. He used the formula for area instead of perimeter.
3. C)C. The unit should be 'cm' not 'cm²'.
4. D)D. Both B and C are correct.
Show answer
Answer: D. Both B and C are correct.
Hint: Recall the correct formula for the perimeter of a square and the appropriate units for perimeter.
Q2.easy
A rectangular field has a length of 12 meters and a breadth of 8 meters. What is the total length of wire needed to fence this field exactly once?
1. A)A. 20 meters
2. B)B. 40 meters
3. C)C. 96 meters
4. D)D. 48 meters
Show answer
Answer: B. 40 meters
Hint: Fencing a field requires calculating the distance around its boundary. Which geometric concept does this relate to?
Q3.easy
Which of the following statements is true regarding the area of a shape?
1. A)A. It is measured in units like cm or m.
2. B)B. It represents the space occupied by the shape on a flat surface.
3. C)C. It is always equal to its perimeter.
4. D)D. It is calculated by adding all its sides.
Show answer
Answer: B. It represents the space occupied by the shape on a flat surface.
Hint: Think about what 'area' means in practical terms, like covering a floor with tiles or painting a wall.
Q4.medium
A square-shaped playground has a side length of 30 meters. What is the area of the playground?
1. A)60 m²
2. B)90 m²
3. C)900 m²
4. D)1200 m²
Show answer
Answer: 900 m²
Hint: To find the area of a square, you multiply the side length by itself.
Q5.medium
A figure is formed by joining two identical squares, each with a side of 5 cm. If the squares are joined side-by-side to form a rectangle, what is the perimeter of the new rectangular figure?
1. A)20 cm
2. B)30 cm
3. C)40 cm
4. D)50 cm
Show answer
Answer: 30 cm
Hint: When two squares are joined side-by-side, the new length and breadth of the resulting rectangle change. Draw a diagram to visualize it.
Q6.medium
Imagine a grid where each small square has an area of 1 square unit. A shape is drawn on this grid. It covers 12 full squares and 4 half-squares. What is the total area of the shape?
1. A)12 square units
2. B)13 square units
3. C)14 square units
4. D)16 square units
Show answer
Answer: 14 square units
Hint: Remember that two half-squares combine to make one full square.
Q7.hard
A square photo frame has a perimeter of 80 cm. If a smaller square photo is placed inside it, leaving a uniform border of 2 cm on all sides, what is the area of the photo?
1. A)324 cm²
2. B)256 cm²
3. C)196 cm²
4. D)144 cm²
Show answer
Answer: 256 cm²
Hint: First find the side of the larger frame. Then, consider how the border affects the side length of the inner photo.
Q8.hard
Rohan claims that if the perimeter of a rectangle is 24 cm, its area must be 36 cm². Is Rohan's statement always true, sometimes true, or never true?
1. A)Always true
2. B)Sometimes true
3. C)Never true
4. D)Cannot be determined
Show answer
Answer: Sometimes true
Hint: Try to find different rectangles that have a perimeter of 24 cm. Do all of them have an area of 36 cm²?
Q9.hard
A rectangular field has an area of 288 m². If its length is twice its width, what is the perimeter of the field?
1. A)72 m
2. B)84 m
3. C)96 m
4. D)108 m
Show answer
Answer: 72 m
Hint: Let the width be 'w'. Express the length in terms of 'w'. Use the area formula to find 'w', then 'l', and finally the perimeter.

These are 9 of the 60 questions available for Perimeter & Area. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.