Question

The length of two parallel sides of a Trapezium are 12cm and 8cm. If the perpendicular distance between them is 16cm, then the area of trapezium is _ ___________ sq.cm. (1 Point) a] 60 b] 120 c] 36 d]160​

Answer 1

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)