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

$$\begin{gathered} \text{Given:} \\ {\text{Area of the trapezium = 960 cm}}^2 \\ \text{And the length of the parallel sides are 34 cm and 46 cm.} \\ \text{Area of trapezium=}\frac{1}{2}\text{×(Sum of the parallel sides)×(Perpendicular distance between the parallel sides)} \\ \Rightarrow \text{960 =}\frac{1}{2}\text{×(34+46)×(Height)} \\ \Rightarrow 960=40\text{×(Height)} \\ \Rightarrow \text{Height =}\frac{960}{40}\text{= 24 cm} \end{gathered}$$