Q6 of 45 Page 11

The parallel sides of a trapezium are 25cm and 13cm. Its nonparallel sides are equal each being 10cm. Find the area of the trapezium.

 

AB = 25cm, DC = 13 cm, BC = 10 cm. AD =10cmEB = AB - AE = AB - DC    = 25 - 13 = 12cmCE = AD = 10cm. AE = DC = 13cmIn Δ EBC, CE = BC = 10cmCF ⊥ AB, F is the midpoint of EB.                            Area of trapezium = area of parallelogram AECD + area of Δ CEB                        

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