Question

4. The parallel sides of a trapezium are 20 m and 30 m and its non-parallel sides
one of its parallel sides is 6 cm, find the
are 6 m and 8 m. Find the area of the trapezium.​

Answer 1

Answer:

Draw BE∥AD, then AB∥DE

Hence ABED is a parallelogram

∴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

Hope it will help you