Question

The area of a trapezium is 390 sq.cm. one of its parallel sides is 5 cm longer than the other and the distance between them is 12 cm. find the lengths of the parallel sides of the trapezium​

Answer 1

Answer:30,36

Step-by-step explanation:

Let one parallel side be x

Another side be x+5

ATQ,

=>1/2×(x+5+x)×12=390

=>6(2x+5)=390

=>12x+30=390

=>12x=360

=>x=360/12

x=30

x+5=30+5=35

One side is 30 and other side is 35.

Answer 2

$\huge{\boxed{\mathfrak{\red{ANSWER!!!}}}}$

Area of trapezium = 390 square cm

One parallel side = x cm

Therefore other parrallel side = ( x+ 5)cm

Distance = 12cm

Therefore we know that the area of trapezium = 1/2*Sum of parrallel sides * height

Or 390=1/2*(2x +5)*12

Or 390=(2x+5)*6

Or 390=12x+30

Or 360=12x

Or x =360/12

Or x=30

Therefore Shorter parrallel side = 30 cm

longer parrallel side = 35 cm