Figure STUV and figure WXYZ, shown below, are similar figures.

Question

The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 78 mm and SV = 102 mm, what is the length of side WZ?

Answer 1

First, we need to find the length of side WX in figure WXYZ.

Since the scale factor of STUV to WXYZ is 3:1, we can find the length of WX by dividing SV by 3:

SV = 102 mm
WX = SV/3 = 102 mm / 3 = 34 mm

Now, we can find the length of side WZ by using the scale factor:

WX:WZ = 3:1

34 mm : WZ = 3 : 1

Cross multiply:
34 mm * 1 = WZ * 3

WZ = 34 mm * 1 / 3 = 34 mm / 3 = 11.33 mm

Therefore, the length of side WZ is 11.33 mm.