Question

find the scale factor and ratio of perimeters for a pair of similar trapezoids with areas 81cm squared and 49cm squared the scale factor is __the ratio of perimeters is __

Answer 1

Case: Scale factor

Method:

A pair of similar trapezoids with areas 81cm squared and 49cm squared

a) The area scale factor is: 81: 49

The linear scale factor is the square root of the area scale factor

`\begin{gathered} \sqrt{(81)/(49)} \\ =(9)/(7) \end{gathered}`

The Linear scale factor is 9:7.

b) The since the perimeter is also linear, the ratio of the perimeter is also: 9:7