Question

the parallel side of a trapezium are 20m and 30m and it's non-parallel sides are 6m and 8m . find the area of the trapezium
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Answer 1

Answer:

AB=DE=20m

AD=BE=8m

EC=DC−DE=30−20=10m

Now, ar△BCE=

s(s−a)(s−b)(s−c)

,s=

2

8+6+10

=12m

∴ar△BCE=

12(12−8)(12−6)(12−10)

=

12×4×6×2

=2×12=24㎡

2

1

×EC×BF=24㎡⇒BF=

10

24×2

=4.8m

∴arABCD=

2

1

×(AB+CD)×BF=

2

1

×(20+30)×4.8

=50×2.4

=120m