Question

The parallel sides of a trapezium are 30 cm and 20 cm. Its non parallel sides are both equal, each being 13 cm.Find the area of the traperiam.please answer with procedure to be brainliest
and my book gave answer
300 cm² please do correctly​

Answer 1

Answer:

300 cm²

Step-by-step explanation:

Pls find attached the trapezium ABCD with AB=20 ; CD=30 and AC=BD=13cm

To compute the area of the trapezium we need to calculate the height first.

Let's draw 2 perpendiculars AE and BF from AB to CD.

So the figure ABEF is a rectangle. Hence AB=EF=20cm

Also AE=BF.

Now consider the right angled triangles ΔACE and ΔBFD

AC²=AE²+CE² and BD²=BF²+FD²

As AC = BD and AE=BF ; CE=FD=(CD-EF)/2 = 5cm

Hence, 13²=AE²+5²

AE²=169-25=144

AE=12cm

Now we have the height of the trapezium and hence the area will be;

1/2*12*(20+30) = 300