Question

area of trapezium is 160cm² length of parallel sides are in the ratio 1:3 if the smaller of the parallel side is 10cm in length then find the perpendicular distance between them

Answer 1

Step-by-step explanation:

Ratio between parallel side =3:2

let the common ratio be x

so parallel side are 3x and 2x

area =325cm²

area = \frac{1}{2} (3x + 2x)10 \\ = 325 = 5(5x) \\ = 325 = 25x \\ = 13 = x

one parallel side =3x=3×13=39cm

other =2x=2×13=26cm