Question

The area of a trapezium is 960 cm². If the parallel sides are 34 cm and 46 cm, find the distance between them.

Answer 1

Given:
Area of the trapezium = 960 cm² 
And the length of the parallel sides are 34 cm and 46 cm.
Area of trapezium \[=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Perpendicular distance between the parallel sides })\]
\[ \Rightarrow 960 =\frac{1}{2}\times(34+46)\times(\text{ Height })\]
\[ \Rightarrow 960 = 40\times(\text{ Height })\]
\[ \Rightarrow\text{ Height }=\frac{960}{40}= 24 cm\]