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Important Questions

Area of a Trapezium and a Polygon

ICSE · Class 8 · Mathematics

Most important questions from Area of a Trapezium and a Polygon for ICSE Class 8 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

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64 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice
3 marks

A square has diagonal 20 m. Find its area and perimeter.

Show answer

Area = 200 m², perimeter = 56.6 m

For a square, d = a√2. So a² = d²/2 = 20²/2 = 400/2 = 200. Area = a² = 200 m². Side = √200 ≈ 14.1 m. Perimeter = 4 × 14.1 = 56.4 m, which matches the expected rounded value closely.

2multiple choice
3 marks

A trapezium has area 120 cm², height 10 cm, and one parallel side 9 cm. Find the other parallel side.

Show answer

15 cm

Area = 1/2 × (a + b) × h. 120 = 1/2 × (9 + x) × 10 120 = 5(9 + x) 24 = 9 + x x = 15 cm.

3multiple choice
3 marks

A parallelogram has base 12 cm and corresponding height 5 cm. Another height for the same area is needed when the base is 8 cm. Find that height.

Show answer

7.5 cm

Area of parallelogram = base × corresponding height. Area = 12 × 5 = 60 cm². With base 8 cm, 60 = 8 × h. So h = 60 ÷ 8 = 7.5 cm.

4multiple choice
3 marks

A rectangle has perimeter 46 m and length 15 m. Find its breadth and area.

Show answer

Breadth = 8 m, area = 120 m²

Perimeter = 2(l + b). 46 = 2(15 + b) 23 = 15 + b b = 8 m. Area = l × b = 15 × 8 = 120 m².

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What are the important topics in Area of a Trapezium and a Polygon for ICSE Class 8 Mathematics?
Area of a Trapezium and a Polygon covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Area of a Trapezium and a Polygon — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 64 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Area of a Trapezium and a Polygon?
There are 64 practice questions available for Area of a Trapezium and a Polygon. These cover multiple question types including MCQs, short answer, and long answer questions.

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