Introduction of Rahul Sir
When it comes to cracking banking examinations like IBPS PO and IBPS Clerk, the Quantitative Aptitude section plays a crucial role in determining the final score. Among the various arithmetic topics asked in these exams, Problems on Area is one of the most important and scoring chapters. Questions from this topic are regularly asked in prelims as well as mains examinations because they test a candidate’s understanding of geometry, formulas, and practical application of mathematical concepts.
Rahul Sir, one of the experienced aptitude trainers at OdTutor, has helped thousands of banking aspirants master quantitative aptitude through simplified techniques and shortcut methods. With years of teaching experience, Rahul Sir focuses on conceptual clarity, exam-oriented tricks, and smart calculation techniques that help students solve questions accurately within limited exam time.
Problems on Area involve calculating the area of different geometric shapes such as squares, rectangles, triangles, circles, parallelograms, trapeziums, and combinations of figures. Candidates are often required to compare areas, find dimensions, calculate shaded regions, or solve word problems based on practical scenarios.
The key to mastering this topic is understanding formulas thoroughly and learning how to identify the appropriate formula quickly. With regular practice and strategic approaches taught by Rahul Sir, students can solve area-based questions within seconds and improve their overall quantitative aptitude score significantly.
In this article, we will discuss important concepts, formulas, shortcuts, exam-focused tricks, and solved examples that will help you excel in Problems on Area for IBPS PO and Clerk examinations.
1. Understanding the Concept of Area
Area refers to the amount of space occupied within the boundary of a two-dimensional figure. It is measured in square units such as square centimeters, square meters, or square kilometers.
In banking exams, area questions are designed to test whether candidates understand geometric relationships and can apply formulas accurately. Before learning shortcuts, students must clearly understand what area represents.
For example, if a rectangular park is 20 meters long and 10 meters wide, the area represents the total land covered by the park.
Formula:
Area of Rectangle = Length × Breadth
= 20 × 10
= 200 square meters
Many students memorize formulas without understanding their meaning. This often leads to confusion during exams. Understanding the concept allows candidates to visualize figures and solve complex questions confidently.
Examiners frequently present questions in practical contexts such as:
• Agricultural fields
• Parks
• Gardens
• Plots
• Swimming pools
• Construction sites
Developing the habit of drawing rough diagrams helps simplify such problems.
Example:
A rectangular hall measures 15 m by 12 m.
Area = 15 × 12 = 180 sq m
This simple understanding forms the foundation for solving advanced area questions involving multiple geometric figures and combined shapes.
2. Important Area Formulas Every Aspirant Must Know
Memorizing area formulas is essential because direct formula-based questions frequently appear in IBPS exams.
Important formulas include:
Rectangle:
Area = Length × Breadth
Square:
Area = Side²
Triangle:
Area = ½ × Base × Height
Parallelogram:
Area = Base × Height
Trapezium:
Area = ½ × (Sum of Parallel Sides) × Height
Circle:
Area = πr²
Rhombus:
Area = ½ × Product of Diagonals
Students should revise these formulas daily until they become automatic.
Example:
Find area of a square having side 8 cm.
Area = 8²
= 64 sq cm
Shortcut Tip:
Prepare a one-page formula sheet and revise it every day before practice sessions.
Strong formula recall saves precious seconds during examinations and improves accuracy significantly.
3. Tricks to Solve Rectangle and Square Questions Quickly
Rectangle and square questions are among the easiest area problems asked in banking examinations.
For rectangles:
Area = Length × Breadth
For squares:
Area = Side²
Shortcut:
If side increases by x%, area increases by:
x(2) + x²/100
Example:
Side of a square increases by 10%.
New area increase:
= 2×10 + (10²/100)
= 20 +1
= 21%
This shortcut eliminates lengthy calculations.
Example:
A square has side 12 cm.
Area = 12² = 144 sq cm
Such percentage-based area questions are frequently seen in IBPS mains exams.
Practice mental calculations involving squares from 1 to 50 for faster solving.
4. Solving Triangle Area Problems Efficiently
Triangle-based questions are common because they allow examiners to test multiple concepts together.
Formula:
Area = ½ × Base × Height
Example:
Base = 16 cm
Height = 10 cm
Area = ½ × 16 ×10
= 80 sq cm
Shortcut:
If base doubles while height remains unchanged, area also doubles.
Similarly:
If both base and height increase by 20%,
Area increase =
20 +20 +(20×20)/100
= 44%
This shortcut helps in percentage change questions.
Candidates should focus on understanding relationships between base, height, and area rather than simply applying formulas.
5. Circle Area Questions and Fast Calculation Techniques
Circle questions regularly appear in IBPS quantitative aptitude sections.
Formula:
Area = πr²
Use:
π = 22/7
or
π = 3.14
depending on question requirements.
Example:
Radius = 7 cm
Area
= 22/7 × 7 ×7
= 154 sq cm
Shortcut:
If radius increases by x%
Area increase:
= 2x + x²/100
Example:
Radius increases by 20%
Area increase
= 40 +4
= 44%
Understanding these relationships helps solve questions rapidly without lengthy calculations.
6. Area Comparison Questions
Many IBPS questions compare areas of two figures.
Example:
Rectangle:
20 ×15 =300
Square:
Side =17
Area =289
Difference:
300 −289 =11
Shortcut:
Compare dimensions before calculating complete values.
Candidates often waste time calculating exact answers when estimation methods can eliminate options quickly.
Practice comparing:
• Rectangles and squares
• Circles and squares
• Triangles and parallelograms
These comparisons improve analytical speed significantly.
7. Problems on Shaded Regions
Shaded area questions combine two or more geometric figures.
Example:
A circle is drawn inside a square.
Square side =14 cm
Square area =196
Circle area
=22/7 ×7²
=154
Shaded area
=196 −154
=42 sq cm
Such questions require careful diagram interpretation.
Always calculate larger figure area first and then subtract smaller figure area.
This approach reduces errors and improves accuracy.
8. Area of Combined Figures
Examiners often create complex figures by combining rectangles, triangles, circles, and semicircles.
Strategy:
- Divide the figure into known shapes.
- Calculate individual areas.
- Add or subtract as required.
Example:
Rectangle area =120
Triangle area =40
Combined area =160
Avoid getting intimidated by large diagrams.
Most complicated figures become simple after dividing them into smaller shapes.
Regular practice improves visualization skills.
9. Percentage Change in Area Questions
Percentage change questions are extremely popular in IBPS mains examinations.
Shortcut Formula:
If dimension changes by x%
Area change
= 2x + x²/100
Example:
Side increases by 30%
Area increase
=60 +9
=69%
Similarly:
If side decreases by 20%
Area decrease
=36%
Knowing these formulas saves considerable exam time.
Students should memorize common values such as:
10% → 21%
20% → 44%
30% → 69%
50% →125%
These are frequently tested.
10. Exam Strategy and Practice Tips for Area Problems
Success in area questions depends more on speed and accuracy than difficulty.
Follow these strategies:
• Memorize formulas thoroughly.
• Practice diagrams regularly.
• Learn square values up to 50.
• Revise percentage change shortcuts.
• Attempt easy questions first.
• Use approximation whenever possible.
• Avoid lengthy calculations.
• Practice previous year IBPS papers.
• Maintain a geometry formula notebook.
• Take sectional mock tests weekly.
Consistent practice develops confidence and helps identify patterns frequently repeated in banking examinations.
A candidate who masters area formulas and shortcuts can easily solve most exam questions within one minute.
How Teachers from OdTutor Can Help
At OdTutor, experienced faculty members including Rahul Sir provide structured guidance for IBPS PO and Clerk aspirants. Students receive concept-based learning, shortcut techniques, formula revision sessions, doubt-solving support, mock tests, and previous year question practice. Special emphasis is placed on improving calculation speed and exam temperament. Through personalized mentoring and regular assessments, OdTutor helps students identify weak areas and transform them into strengths. Whether you are preparing for prelims or mains, OdTutor’s expert teachers ensure you gain confidence and accuracy in solving aptitude topics like Problems on Area.
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