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RRB Group D Quadrilaterals

Study Material — 1 PYQs (2019–2019) · Concept Notes · Shortcuts

RRB Group D Quadrilaterals is a frequently tested subtopic — 1 previous year questions from 2019–2019 papers are included below with concept notes, key rules and shortcut tricks.

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8 Key Points
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Previous Year Questions

RRB Group D Quadrilaterals — Past Exam Questions

1 questions from actual RRB Group D papers · all shown free · click option to reveal solution

Exam Q 12019Previous Year Pattern

The length and breadth of a rectangle are in the ratio 5:3. If the perimeter of the rectangle is 96 cm, what is the area of the rectangle?

Concept Notes

Quadrilaterals— Rules & Concept

Core ConceptRead this first — the foundation of the topic

A quadrilateral is a closed figure with four sides and four angles. The sum of all interior angles in any quadrilateral is always 360°. This is the most fundamental property you must remember.

There are several types of quadrilaterals: parallelogram, rectangle, square, rhombus, trapezium, and kite. Each has unique properties that SSC CGL tests regularly.

Key RulesCore rules you must know cold
Rectangle

All angles are 90°. Diagonals are equal and bisect each other

Square

All sides equal, all angles 90°. Diagonals are equal, perpendicular, and bisect each other

Rhombus

All sides equal. Diagonals are perpendicular and bisect each other

Trapezium

One pair of opposite sides is parallel. Kite: Two pairs of adjacent sides are equal. One diagonal bisects the other at right angles

Area Formulas

Parallelogram: Base × Height Rectangle: Length × Breadth Square: Side² Rhombus: (1/2) × d1 × d2 (where d1, d2 are diagonals) Trapezium: (1/2) × (sum of parallel sides) × height Kite: (1/2) × d1 × d2

Exam PatternsWhat examiners ask — read before attempting PYQs
Common question types include

finding area when diagonals are given, calculating perimeter from given conditions, property-based questions, and coordinate geometry problems involving quadrilaterals

Powerful Shortcut - Diagonal Rule

For any quadrilateral with perpendicular diagonals, Area = (1/2) × d1 × d2. This works for rhombus, kite, and square. This single formula can solve multiple question types quickly.

Worked ExampleSolve this step-by-step before moving on
1
Step 1

Find Area Area = (1/2) × d1 × d2 Area = (1/2) × 16 × 12 = 96 cm²

2
Step 2

Find Side Length Diagonals of rhombus bisect at right angles. Half diagonals: 8 cm and 6 cm Using Pythagoras: Side = √(8² + 6²) = √(64 + 36) = √100 = 10 cm

3
Step 3

Find Perimeter Perimeter = 4 × side = 4 × 10 = 40 cm Another

ShortcutsUse these to save 30–60 seconds per question

When a quadrilateral's vertices are given in coordinate geometry, use the shoelace formula: Area = (1/2)|x1(y2-y4) + x2(y3-y1) + x3(y4-y2) + x4(y1-y3)|. This eliminates the need for multiple calculations.

Exam TrapsCommon mistakes students make — avoid these

Students often confuse rhombus and square properties. Remember: Square has all properties of rhombus PLUS all angles are 90°. Rhombus doesn't necessarily have 90° angles.

Also, many forget that in trapezium area formula, height is the perpendicular distance between parallel sides, not the slant side length.

Key Points to Remember

  • Sum of interior angles in any quadrilateral = 360°
  • Parallelogram: Opposite sides parallel and equal, diagonals bisect each other
  • Rectangle: All angles 90°, diagonals equal and bisect each other
  • Square: All sides equal, all angles 90°, diagonals equal and perpendicular
  • Rhombus: All sides equal, diagonals perpendicular and bisect each other
  • For perpendicular diagonals: Area = (1/2) × d1 × d2
  • Trapezium area = (1/2) × (sum of parallel sides) × height
  • Kite has two pairs of adjacent sides equal, one diagonal bisects other perpendicularly

Exam-Specific Tips

  • Sum of all interior angles in any quadrilateral is exactly 360°
  • Rhombus area formula: (1/2) × d1 × d2 where d1, d2 are diagonals
  • Square is the only quadrilateral that is both rectangle and rhombus
  • In parallelogram, opposite angles are equal and adjacent angles are supplementary
  • Trapezium has exactly one pair of parallel sides
  • Rectangle diagonals are always equal in length
  • Kite has exactly two pairs of adjacent sides equal
  • In any parallelogram, diagonals bisect each other but are not necessarily equal
Practice MCQs

Quadrilaterals — Practice Questions

3graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

A parallelogram has a base of 24 cm and a height of 15 cm. If the height is measured perpendicular to the base, what is the area of the parallelogram?

Practice 2medium

A quadrilateral ABCD has diagonals AC and BD intersecting at point O. If AC = 24 cm, BD = 18 cm, and the diagonals intersect at right angles, find the area of the quadrilateral.

Practice 3hard

A quadrilateral ABCD has diagonals AC and BD intersecting at point O. The diagonals divide the quadrilateral into four triangles. If AC = 20 cm, BD = 24 cm, and the diagonals intersect at right angles, the ratio of the areas of triangles AOB and COD is 4:9. Find the length of AO (in cm).

60-Second Revision — Quadrilaterals

  • Remember: All quadrilateral interior angles sum to 360°
  • Formula: Area with perpendicular diagonals = (1/2) × d1 × d2
  • Trap: Square is both rectangle and rhombus, but rhombus is not always rectangle
  • Quick check: Parallelogram opposite sides are parallel AND equal
  • Memory aid: Rectangle = right angles, Rhombus = equal sides
  • Formula: Trapezium area = (1/2) × (parallel sides sum) × height
  • Property: Only square has equal diagonals that are also perpendicular
←Circles — Area & CircumferenceCylinder, Cone, Sphere→
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