Question

One of the parallel sides of a trapezium is twice the other. If the distance between them is 5 cm and the area is 45 cm2, find the parallel sides

Answer 1

1 parallel side is x
2 parallel side is 2x
height is 5cm

area of trapezium =
$\frac{1}{2} \times (sum \: of \: parallel \: side) \: \times height \:$
$45 {cm}^{2} = \frac{1}{2} \times (x + 2x) \times 5$
$9 = \frac{3x}{2} \\ 9 \times 2 = 3x \\ 18 = 3x \\ 9 = x$
1 parallel side x = 9 cm
2 parallel sude 2x = 18cm