#### Question

Find the height of a trapezium, the sum of the lengths of whose bases (parallel sides) is 60 cm and whose area is 600 cm^{2}.

#### Solution

Given:

Sum of the parallel sides of a trapezium = 60 cm

\[ {\text{ Area of the trapezium }= 600 cm}^2 \]

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

On putting the values:

\[600 = \frac{1}{2} \times 60 \times (\text{ Height })\]

\[600 = 30 \times (\text{ Height })\]

\[\text{ Height }=\frac{600}{30}= 20 cm\]

Is there an error in this question or solution?

Solution Find the Height of a Trapezium, the Sum of the Lengths of Whose Bases (Parallel Sides) is 60 Cm and Whose Area is 600 Cm2. Concept: Area of Trapezium.