Question

The area of trapezium is 793 cm^2 and distance between parallel sides is 26cm. if one of the parallel side is 42 cm . find others side?​

Answer 1

Step-by-step explanation:

Area of a trapezium =729 cm

2

Distance between two parallel sides (Altitude) =18cm

One parallel side is shorter than the second by 3cm

Let the longer side be taken as x

Then, shorter side =x−3

Now, Area of trapezium =

2

1

× Sum of parallel sides × Altitude

⇒729=

2

1

(x+x−3)×18

⇒729×2=18(2x−3)

⇒2x−3=

18

729×2

=81

⇒2x=81+3=84

⇒x=

2

84

=42

Hence, the longer side =42cm

And shorter side =42−3=39cm