Question

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

Answer 1

`\bigg( (Length_1)/(Length_2) \bigg)^ 2 = (Area_1)/(Area_2)`


`\bigg( (Length_1)/(Length_2 )\bigg )^ 2 = (54)/(24)`


`(Length_1)/(Length_2) = \sqrt{(54)/(24) }`


`(Length_1)/(Length_2) = \sqrt{(9)/(4) }`


`(Length_1)/(Length_2) = (3)/(2)`


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