9514 1404 393
Answer:
180 units
Step-by-step explanation:
The perimeter of ∆XYV is ...
Pxyv = XY +YV +VX
Pxyv = 29 +31 +40 = 100
The triangles are similar, so the scale factor from ∆XYV to ∆XZW applies to the perimeter. That scale factor is ...
WX/VX = (32+40)/40 = 1.8
Then ...
Pxzw = 1.8 × Pxyv = 1.8 × 100
Pxzw = 180 . . . units
