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Area of a Trapezium and a Polygon

ICSE · Class 8 · Mathematics

Practice quiz for Area of a Trapezium and a Polygon — ICSE Class 8 Mathematics. MCQs and questions with answers to test your preparation.

64 questions30 flashcards5 concepts

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Quick Quiz: Area of a Trapezium and a Polygon

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1

A trapezium has parallel sides of 18 cm and 12 cm, and height 10 cm. Find its area.

2

A rhombus has diagonals 16 cm and 12 cm. Find its area and then its perimeter if each side is 10 cm.

3

The area of a triangle is 54 cm² and its base is 15 cm. Find its height and then find the perimeter if the triangle sides are 9 cm, 12 cm, and 15 cm.

4

An equilateral triangle has side 6 cm. Find its area and then its perimeter.

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.

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