Question

the area of a trapezium is 540cm. if the ratio of parallel sides is 7ratio5and the distance between them is 18cm. find the length of parallel sides

Answer 1

Hi ,

Let a , b are the two parallel sides

of the Trapezium ,

a : b = 7 : 5

Let a = 7x cm

b = 5x cm

h = 18cm

Area of the Trapezium = 540 cm²

[ ( a + b ) h / 2 ] = 540

( 7x + 5x ) × 18/2 = 540

12x × 9 = 540

x = 540 / ( 12 × 9 )

x = 5

Therefore ,

a = 7x = 7 × 5 = 35 cm

b = 5x = 5 × 5 = 25 cm

I hope this helps you.

: )

Answer 2

Here is your answer it may help you.