Work out the area of the trapezium ABDE.
B
9 cm
6 cm
8 cm
→D
E

Area of the trapezium ABDE = 30 cm²

Step-by-step explanation:

Area of a trapezium =

Here, and are the parallel sides of the trapezium

h = Distance between the parallel sides

From the picture attached,

ΔCAE and ΔCBD are the similar triangles.

So by the property of similarity their sides will be proportional.

CE =

CE = 12 cm

Therefore, DE = CE - CD

DE = 12 - 8 = 4 cm

Now area of trapezium ABDE =

                                                  =

                                                  = 30 cm²

Therefore, area of the trapezium ABDE = 30 cm²