Practice Questions
Concept Explanation
A quadrilateral has four sides. Common types: square, rectangle, parallelogram, rhombus, trapezium, and kite.
Key Properties
- Square: all sides equal, all angles 90°. Area = side².
- Rectangle: opposite sides equal, all angles 90°. Area = length × breadth.
- Parallelogram: Area = base × height.
- Rhombus: Area = ½ × d1 × d2.
- Trapezium: Area = ½ × (sum of parallel sides) × height.
Angle Sum
Sum of interior angles of any quadrilateral = 360°.
Common Trap
Slant side is not the height of a parallelogram unless it is perpendicular to the base.
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Q1 Easy
Area of a square with side 8 cm is:
ExplanationArea = 8² = 64 sq cm. -
Q2 Easy
Perimeter of a square with side 8 cm is:
ExplanationPerimeter = 4 × 8 = 32 cm. -
Q3 Easy
Area of a rectangle 12 cm × 5 cm is:
ExplanationArea = 12 × 5 = 60 sq cm. -
Q4 Easy
Perimeter of a rectangle 12 cm × 5 cm is:
ExplanationPerimeter = 2(12 + 5) = 34 cm. -
Q5 Easy
Area of a parallelogram with base 10 cm and height 6 cm is:
ExplanationArea = base × height = 60 sq cm. -
Q6 Medium
A rhombus has diagonals 12 cm and 16 cm. Its area is:
ExplanationArea = ½ × 12 × 16 = 96 sq cm. -
Q7 Medium
A trapezium has parallel sides 8 cm and 12 cm, height 5 cm. Area is:
ExplanationArea = ½ × (8 + 12) × 5 = 50 sq cm.
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Q8 Easy
Sum of interior angles of a quadrilateral is:
ExplanationAny quadrilateral has interior angle sum 360°. -
Q9 Medium
A rectangle has length 15 cm and breadth 8 cm. Its diagonal is:
ExplanationDiagonal = √(15² + 8²) = √289 = 17 cm. -
Q10 Medium
A square and rectangle have equal area 36 sq cm. If rectangle length is 9 cm, breadth is:
ExplanationBreadth = 36/9 = 4 cm. -
Q11 Hard
Rhombus side is 10 cm and one diagonal is 12 cm. The other diagonal is:
ExplanationHalf-diagonals 6 and d/2: 6² + (d/2)² = 10², so d = 16 cm. -
Q12 Medium
Three angles of a quadrilateral are 85°, 95° and 110°. The fourth is:
ExplanationFourth = 360° − 290° = 70°. -
Q13 Easy
A parallelogram has base 14 cm, height 5 cm. Area is:
ExplanationArea = 14 × 5 = 70 sq cm. -
Q14 Hard
Cost of paving a 10 m × 8 m rectangular floor at Rs. 50 per sq m is:
ExplanationArea = 80 sq m. Cost = 80 × 50 = Rs. 4000.
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DS1 Easy
What is the area of the rectangle?
Statement ILength is 11 cm.
Statement IIBreadth is 6 cm.
ExplanationNeed both: area = 66 sq cm. -
DS2 Easy
What is the area of the rhombus?
Statement IOne diagonal is 10 cm.
Statement IIThe other diagonal is 24 cm.
ExplanationNeed both: area = ½ × 10 × 24 = 120 sq cm.
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DS3 Medium
What is the area of the square?
Statement IPerimeter is 36 cm.
Statement IIDiagonal is 9√2 cm.
ExplanationEach alone: side = 9 cm, area = 81 sq cm. -
DS4 Medium
What is the area of the trapezium?
Statement IParallel sides are 7 cm and 13 cm.
Statement IIHeight is 8 cm.
ExplanationNeed both: area = ½ × 20 × 8 = 80 sq cm.