Question

The ratio of length of the parallel sides of a trapezium is 5:3 and the distance between them is 16cm.If the area of the trapezium is 960cm square, find the length of the parallel sides​

Answer 1

Let the sides be 5x and 3x

Given

h=16 cm

A=960 cm2

Now, Area is given as

960= 21×16×(5x+3x)

960=8×8x

64x=960

x=15

5x=5×15=75

3x=3×15=45

Therefore, the parallel sides are 45 cm and 75 cm.