Question

7. The area of a trapezium is 560 cm- and perpendicular distance between parallel sides is 14 cm. If one of the parallel side is longer than other by 8 cm, find the length of parallel sides.​

Answer 1

Answer:

Area of trapezium = 540 cm

2

Let the paraliel sides be 7x & 5x

& height = 18 cm

540 =

2

1

h(a+b) where a,b are sids of trapezium

⇒1080=18(7x+5x)

⇒60=12x

⇒x=5

Sides = 25 , 35

Answer 2

Answer:

area of trapezium=1/2×height×sum of parallel sides

let of parallel sides be x and x+8

then

560=1/2×14×x+x+8

560/7=2x+8

80=2x+8

2x=72

x=36

then length of one side is x=36cm

and x+8=44cm