Mathematics · Class 5
Area and Its Boundary
Learn Area and Its Boundary with notes, examples, and practice questions.
3 sections15–25 min read3 MCQs · 1 examples
Chapter Overview
Area uses square units; perimeter uses ordinary length units.
Area and Its Boundary distinguishes the space inside a figure from the length around it. Learners calculate area and perimeter of rectangles and squares and compare figures with equal area or equal perimeter.
Area and Perimeter
- Rectangle area = length × breadth.
- Rectangle perimeter = 2 × (length + breadth).
- Square area = side × side.
- Square perimeter = 4 × side.
Comparing Shapes
- Figures can have equal area but different perimeters.
- Figures can have equal perimeter but different areas.
- Rearranging pieces may preserve area while changing boundary length.
- Count only outside edges for the boundary.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Compare Two Measures
A garden is 12 m by 7 m. Find its area and perimeter.
- 1Area = 12 × 7 = 84 m².
- 2Perimeter = 2 × (12 + 7).
- 3Calculate 2 × 19 = 38 m.
Answer
Area = 84 m²; perimeter = 38 m
Key Points to Remember
- ✓ Area measures inside space
- ✓ Perimeter measures outside boundary
- ✓ Use square units only for area
- ✓ Equal area does not imply equal perimeter
Exam Tips
- • Identify whether the question asks covering or fencing
- • Include units with the correct square symbol
- • Ignore internal grid lines when finding perimeter
Practice MCQs — Area and Its Boundary
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 3Score: 0/0
A square has side 9 cm. What is its perimeter?