Question

the ratio of The parallel sides of a Trapezium is 3 is 25 and the distance between them is 16 cm if the area of the trapezium is 384 square centimetre find the length of each parallel side

Answer 1

Ratio of the parallel sides is 3:25

Let one side be 3x and the other be 25x

Area of trapezium is 1/2(sum of parallel sides ) *hieght

Therefore, area = 1/2(3x+25x)*16

Now, it is given that area =384sq.cm

Therefore,

1/2(3x+25x)*16=384

=>28x*8=384

Then we can figure out the value of the sides by putting the value of x