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Area of Trapezium
Last updated at March 16, 2026 by Teachoo
Class 8 (Ganita Prakash - 1, 2 & Old NCERT)
Chapter 7 Class 8 - Area (Ganita Prakash II)
- Area of Rectangle and Square
- Perimeter vs Area
- Figure it out - Page 150-152
- Area of Triangle
- Applications of Area of Triangle Formula
- Triangles between Parallel Lines with a Common Base
- Figure it out - Page 157-159
- Area of any Polygon
- Figure it out - Page 160
- Area of Parallelogram
- Area of Rhombus
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Area of Trapezium
- Figure it out - Page 169-170
- Areas in Real Life
Transcript
Area of TrapeziumA Trapezium is a quadrilateral with One pair of opposite sides parallel It’s area is Let’s find where this formula comes from Finding Area FormulaTEP 1 OF 6 The Standard Trapezium Consider a trapezium WXYZ with parallel sides WXIZY. Let top base . Let bottom base . Previous Next Step STEP 2 OF 5 Constructing Altitudes Construct and . Since WXI ZY and the interior angles add up to , WXNM forms a perfect rectangle. Let the height . Previous Next StepSTEP 3 OF 5 Dissection into Three Figures We've broken the trapezium into three parts: WMZ (Left Triangle) Rectangle WXNM (Middle) (Right Triangle) Let's assign variable to MZ and to NY. The middle base MN is equal to top base . Previous Next Step STEP 4 OF 5 Summing the Areas Area WXYZ Area(WXNM) + Area( XNY) Previous Next Step STEP 5 OF 5 Substituting the Total Base Look at the entire bottom base . &implies; Substitute this back into our area formula: Area height × (sum of parallel sides) Previous Restart
