Math, asked by churag, 1 year ago

in a given figure shows a trapezium ABCD. find the area and perimeter of a trapezium. dc=20cm,cb=16cm,ab=32cm,da=10cm ,DC and AB are parallel

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Answered by Fareedahmed
1

Area of a trapezium ABCD = {¹/₂ × (AB + DC) × h} square units.

Proof:     Area of a trapezium ABCD 

            = area (∆DFA) + area (rectangle DFEC) + area (∆CEB) 

            = (¹/₂ × AF × DF) + (FE × DF) + (¹/₂ × EB × CE) 

           = (¹/₂ × AF × h) + (FE × h) + (¹/₂ × EB × h) 



            = ¹/₂ × h × (AF + 2FE + EB) 

            = ¹/₂ × h × (AF + FE + EB + FE) 

            = ¹/₂ × h × (AB + FE) 

            = ¹/₂ × h × (AB + DC) square units.

            = ¹/₂ × (sum of parallel sides) × (distance between them) 


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