Question

Two trapezoids have areas 54 cm2 and 24 cm2. Find their ratio of similarity.

Answer 1

$\bigg( \dfrac{Length_1}{Length_2} \bigg)^ 2 = \dfrac{Area_1}{Area_2}$

$\bigg( \dfrac{Length_1}{Length_2 }\bigg )^ 2 = \dfrac{54}{24}$

$\dfrac{Length_1}{Length_2} = \sqrt{\dfrac{54}{24} }$

$\dfrac{Length_1}{Length_2} = \sqrt{\dfrac{9}{4} }$

$\dfrac{Length_1}{Length_2} = \dfrac{3}{2}$

$\text {Ratio of similarity of the two trapeziums =} 3 : 2$