Question

The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 39 mm and SV = 51 mm, what is the length of side WZ?

Answer 1

WZ corresponds to side SV. You can confirm this by noting the position of points S and V vs W and Z in their respective shape names, or by simply sketching the shapes. The ratio of 3:1 STUV to WXYZ means that each side of STUV is 3 times the length of the corresponding side of WXYZ. Therefore, WZ is simply (1/3) times the side length of SV.