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The parallel sides of a trapezium are 60cm and 77cm .Other sides are 25cm and 26cm. Find it's area.


Prasad 27th Mar, 2020
Answer (1)
Shivam bhardwaj Student Expert 27th Mar, 2020

Hello Prasad,

Hope you are doing well.

Draw a line BC parallel to AD

Draw a perpendicular line BE on DF

ABCD is a parallelogram.

BC=AD=25cm

CD=AB=60cm

CF=77-CD=17cm


For Δ BCF

perimeter of triangle=(25+26+17)/2

=68/2=34

By Heron's Formula of triangle=√s(s-a)(s-b)(s-c)

=√34(34-25)(34-26)(34-17)

=204cm²


Now area of ΔBCF=1/2xbase x height

=1/2 BExCF204cm²

=1/2x BEx17BE

=408/17

=24cm


Area of Trapezium =1/2(AB+DF)xBE

=1/2(60+77)x24

=1644cm²

Good luck

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