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:

$A=\frac{1}{2}(a+b)h$

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:

$\frac{\sqrt{25}}{\sqrt{36}}=\frac{5}{6}$

Therefore, the ratio is 5:6.