Maths-5 Area : Questions and Step-by-Step Solutions for Competitive Exams (SSC, BSSC, Bank,Railways)
Let’s build your understanding of Area from the very basics. Area is a key concept in geometry and is often tested in competitive exams like CDS, SSC, and UPSC. Once you grasp the formulas and logic, solving area-based questions becomes quick and easy.
What is Area?
Area is the amount of space inside a 2D shape. It’s measured in square units like cm², m², etc.
Basic Area Formulas (Must Memorize)
| Shape | Formula for Area | Example Units |
| Square | side × side = ( a^2 ) | cm², m² |
| Rectangle | length × breadth = ( l × b ) | cm², m² |
| Triangle | 1/2 × base × height ) | cm², m² |
| Circle | π × r^2 | cm², m² |
| Parallelogram | base × height | cm², m² |
| Trapezium | 1/2 × (a + b) × h ) | cm², m² |
| Rhombus | 1/2 × (d_1 × d_2 ) | cm², m² |
Step-by-Step Examples
✅ 1. Area of a Square
Q: Find the area of a square with side 5 cm.
Solution:
Area = ( 5 × 5 = 25 ) cm²
✅ 2. Area of a Rectangle
Q: Length = 8 cm, Breadth = 3 cm
Solution:
Area = ( 8 × 3 = 24 ) cm²
✅ 3. Area of a Triangle
Q: Base = 10 cm, Height = 6 cm
Solution:
Area = 1/2 × 10 × 6 = 30 ) cm²
✅ 4. Area of a Circle
Q: Radius = 7 cm
Solution:
Area = ( π × 7^2 = 22/7 × 49 = 154 ) cm²
✅ 5. Area of a Trapezium
Q: Parallel sides = 10 cm and 6 cm, Height = 4 cm
Solution:
Area = 1/2 × (10 + 6) × 4 = 32 ) cm²
Tips for Solving Area Questions
- Always check units (convert mm to cm, cm to m if needed).
- Use π = 22/7 or 3.14 depending on the question.
- For composite shapes, break them into known shapes (e.g., rectangle + triangle).
- For shaded/unshaded areas, subtract inner area from outer area.
1 thought on “Maths-5 Area : Questions and Step-by-Step Solutions for Competitive Exams (SSC, BSSC, Bank,Railways)”