question_answer

The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Answer:

Height of trapezium (h) = 4 cm

Length of one parallel side = 10 cm

Second parallel side =?

The area of trapezium \[=\frac{1}{2}\times h\times \](sum of parallel sides)

\[\Rightarrow \]\[34=\frac{1}{2}\times 4\times \] (10 + second parallel side)

\[\Rightarrow \]\[\frac{34}{2}=10+\]second parallel side

\[\Rightarrow \]\[~1710=\]second parallel side

\[\therefore \] other parallel side of trapezium = 7 cm