Q1
What is the trapezium area formula?
A(1/2) × (sum of parallel sides) × height
BLength × width
CSide × side
D(1/2) × base × height only
ICSEClass 8 (ICSE)MathematicsCh 20 · Topic 1
Area of Trapezium and Polygon
The area of a trapezium and other polygons can be calculated using specific formulas based on their sides, height, and shape.
Core concept
The area of a trapezium is calculated as (1/2) × (sum of parallel sides) × height.
How it works
For irregular polygons, we can often divide the shape into triangles or other simple shapes, calculate each area, and add them together.
Why it matters
For a regular polygon, area can be calculated using (1/2) × perimeter × apothem (distance from centre to a side).
Key detail
These area calculations are useful in real life for tasks like calculating land area, flooring, or material needed for construction.
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• Trapezium area = (1/2) × (sum of parallel sides) × height.
• Irregular polygons can be divided into triangles.
• We calculate and sum each triangle's area.
• Regular polygon area = (1/2) × perimeter × apothem.
• Apothem is the distance from centre to a side.
• These formulas help calculate land area.
• They help with flooring and construction material.
• Understanding these formulas is practical for real life.