Question

A trapezium of area 105 cm2 has parallel sides of length 5cm and 9 cm how far apart are the parallel sides

Answer 1

For a trapezoid:
the area equals the product of half the sum of the two bases' length and the normal height between them

so that, we can write:
$105= \frac{5+9}{2}*h\\~\\h=15~~cm$

Hence the parallel sides are 15 cm apart.

I hope that helps!