Question

6. The areas of two trapeziums are 25 cm? and 36 cm?, Find the ratio of their corresponding sidesif they are similar.

Answer 1

The area of a trapezium is given to be:

`A=(1)/(2)(a+b)h`

If the two trapeziums are similar, then we have that the ratio of corresponding sides will be the ratio of the square roots of their areas.

Therefore, the ratio will be:

`(√(25))/(√(36))=(5)/(6)`

Therefore, the ratio is 5:6.