Question

trapizoid figure STUV is scaled version of figure WXYZ. The scale factor of figure STUV to figure WXYZ is 3:1. If ST= 117 mm and SV= 153 mm, what is the length of side WZ?

Answer 1

39mm

Explanation:

Answer 2

WZ = 51 mm.

Explanation:

The trapezoid figure STUV is a scaled version of figure WXYZ.

The figure STUV to figure WXYZ has a scale factor of 3 : 1.

So, the corresponding lengths of the two figures will be in the 3 : 1 ratio.

Then,
`(ST)/(WX) = (TU)/(XY) = (UV)/(YZ) = (SV)/(WZ) = (3)/(1)`

So, SV = 3 × WZ

⇒ 153 = 3 × WZ

⇒ WZ = 51 mm (Answer)