Question

the parallel sides of a trapezium are 12 cm and 20 cm and the distance between the parallel sides is 10 cm find the area of a trapezium​

Answer 1

Answer:

REF.Image

The mid points distance is the average hence,

2

1

× sum of parallel sides = 18 cm

∴18×12= Area

Area = 216cm

2

Step-by-step explanation:

Let height be h=12cm, Area=390 sq.cm

smaller side be a=x and the other side be b=x+5

So, Area=

2

1

h(a+b)

⇒390=

2

12

(x+x+5)

⇒390=12x+30

⇒12x=360

∴x=

12

360

=30

∴ Smaller side=x=30cm

other side=x+5=30+5=35cm

Hence length of parallel sides are 30cm and 35cm. I hope this answer will help you

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