Question

Tick (✓) the correct answer:
The parallel sides of a trapezium measure 14 cm and 18 cm and the distance between them is 9 cm. The area of the trapezium is
(a) 96 cm²
(b) 144 cm²
(c) 189 cm²
(d) 207 cm²

Answer 1

(b) 144 cm²
$\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{trapezium}=\left\{\frac{1}{2}\times \left(14+18\right)\times 9\right\}{\mathrm{cm}}^2$
$$\begin{gathered} =\left(\frac{1}{2}\times 32\times 9\right)c{m}^2 \\ =144c{m}^2 \end{gathered}$$