Question

Parallel sides of a trapezium are in the ratio 5:9. If the area of the trapezium is 1386 cm² and the distance between the parallel sides is 22 cm, calculate the lengths of both parallel sides.​

Answer 1

Step-by-step explanation:

Length of parallel sides are in ratio 5:3 Let the larger side =5x

⇒ Smaller side =3x

h=12.5 cm

Area =21

(Sum of parallel sides)× (height)

⇒450= 21

(5x+3x)(12.5)

450= 21

(8x)(12.5)=50x

⇒x= 50

1150

=9

⇒ length of larger side =5x=45 cm

Smaller side =3x=27 cm