Question

One of the parallel sides of a trapezium is 5cm longer than the other. If the
prependicular
distance between them
is 9cm and area is 126cm
2
, find the length
of the parallel sides.

Answer 1

The area of a trapezium is the product of height and average base length. The average base length is
  (126 cm^2)/(9 cm) = 14 cm

One base is half the difference longer than this, 16.5 cm; the other is half the difference shorter, 11.5 cm.