Question

Parallel sides of a Trapezium are 46m and 25m and two other side are 20m and 30m . Find the area of trapezium?

Right answer - 426m²


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Answer 1

Draw a line BC parallel to AD  

Draw a perpendicular line BE on DF

ABCD is a parallelogram.

BC=AD=25 cm

CD=AB=60 cm

CF=77−CD=17cm

For ΔBCF

semiperimeter of triangle=  

2

25+26+17

​

 

                                         

                                         =  

2

68

​

=34

By Heron's Formula of triangle=  

s(s−a)(s−b)(s−c)

​

 

                                                  =  

34(34−25)(34−26)(34−17

​

)

                                                  =204cm²

Also, area of ΔBCF=  

2

1

​

×base×height

204=  

2

1

​

BE×CF

204=  

2

1

​

BE×17

BE=408/17

BE=24 cm

Area of Trapezium=  

2

1

​

(AB+DF)×BE

=1/2(60+77)×24

Area=1644cm²

Answer 2

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