#### Question

The area of a trapezium is 960 cm^{2}. If the parallel sides are 34 cm and 46 cm, find the distance between them.

#### Solution

Given:

Area of the trapezium = 960 cm^{2}

And the length of the parallel sides are 34 cm and 46 cm.

Area of trapezium \[=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Perpendicular distance between the parallel sides })\]

\[ \Rightarrow 960 =\frac{1}{2}\times(34+46)\times(\text{ Height })\]

\[ \Rightarrow 960 = 40\times(\text{ Height })\]

\[ \Rightarrow\text{ Height }=\frac{960}{40}= 24 cm\]

Is there an error in this question or solution?

Solution The Area of a Trapezium is 960 Cm2. If the Parallel Sides Are 34 Cm and 46 Cm, Find the Distance Between Them. Concept: Area of Trapezium.