Question

Two parallel sides of a trapezium are $85cm$ and $63cm$ and its area is $2664c{m}^2$. Find its altitude.

Answer 1

$\begin{array}{c}Areaoftrapezium\\ =\frac{1}{2}\left(sumofparallelsides\right)\times altitude\\ \Rightarrow \frac{1}{2}\times \left(85+63\right)\times x=2664\\ \Rightarrow altitudex=\frac{2664\times 2}{148}=36cm\end{array}$