Question #211379

Calculate the area of a trapezium that has parallel sides of 10 cm and 6 cm respectively and the perpendicular distance of 7 cm between the parallel sides. (5) 


1
Expert's answer
2021-06-29T18:04:54-0400

Given trapezium ABCDABCD :

BEBE is height

AD=10 cm,BC=6 cm,BE=7 cm.AD=10\ cm, BC=6\ cm, BE=7\ cm.


SABCD=AD+BC2BES_{ABCD}=\dfrac{AD+BC}{2}\cdot BE

=10+627=56(cm2)=\dfrac{10+6}{2}\cdot 7=56(cm^2)

 The area of a trapezium is 56 cm2.



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