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 __

Respuesta :

SOLUTION:

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

[tex]\begin{gathered} \sqrt{\frac{81}{49}} \\ =\frac{9}{7} \end{gathered}[/tex]

The Linear scale factor is 9:7.

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