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

Question

3 years ago

9

SV= 153 mm, what is the length of side WZ?

1 answer:

snow_tiger [21] · Answer 1 · 2022-02-09T10:15:38+03:00

Answer:

WZ = 51 mm.

Step-by-step 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, $\frac{ST}{WX} = \frac{TU}{XY} = \frac{UV}{YZ} = \frac{SV}{WZ} = \frac{3}{1}$

So, SV = 3 × WZ

⇒ 153 = 3 × WZ

⇒ WZ = 51 mm (Answer)