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 tham is 12 cm find the length of the parallel sides of the trapezium

Answer 1

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
I hope this helps.

Answer 2

this question is very easy.please see in the image.i can also check it.
checking:1/2×(x+x+5)×12sq. cm
1/2×(30+30+5)×12sq. cm
1/2×65×12sq. cm
after cutting,
65×6sq. cm
390sq. cm
hence,our answer is correct because after solving this our area is equals to given area which is equals to 390sq. cm