Question

The parallel sides of the trapezium are 9cm and 7cm long and the distance between them is 6cm. Find the area of the trapezium.
[2 marks]

Answer 1

$\text{Parallel sides of the trapezium are 9 cm and 7 cm,}$
$\text{Thus, the sum of the lengths of parallel sides}(9+7)cm=16cm$
$\text{Distance between them}=6cm$
$\text{Area of the trapezium}=\frac{1}{2}\left(\text{sum of the lengths of parallel sides}\right)\times \left(\text{distance between them}\right)$
[1 mark]
$\therefore \text{Area of the trapezium}=\frac{1}{2}\times 16\times 6c{m}^2=48c{m}^2$.
[1 mark]