Question

The parallel sides of a trapezium are 12 cm and 9 cm and the distance between them is 8 cm. Find the area of the trapezium.

Answer 1

$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{trapezium}=\frac{1}{2}\times \left(\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{parallel}\mathrm{sides}\right)\times \mathrm{distance}\mathrm{between}\mathrm{the}\mathrm{parallel}\mathrm{sides} \\ =\frac{1}{2}\times \left(12+9\right)\times 8 \\ =21\times 4 \\ =84{\mathrm{cm}}^2 \end{gathered}$$

So, the area of the trapezium is 84 cm².