Question

the parallel sides of a trapezium are 20 cm and 10 cm. Its non parallel are both equal each being 13cm. Find the area of the trapezium.​

Answer 1

`180\ \text{cm}^2`

Explanation:

a = 20 cm

b = 10 cm

c = 13 cm

Distance between the parallel sides is found using the Pythagoras theorem.

`h=√(c^2-d^2)`

`\Rightarrow h=√(13^2-5^2)`

`\Rightarrow h=12\ \text{cm}`

Area of a trapezium is given by

`A=(a+b)/(2)h`

`\Rightarrow A=(20+10)/(2)* 12`

`\Rightarrow A=180\ \text{cm}^2`

The area of the trapezium is
`180\ \text{cm}^2`