Respuesta :

9514 1404 393

Answer:

  LW = 17.5

Step-by-step explanation:

In this geometry, all of the right triangles are similar. This means the ratio of long side to short side is the same for all of the triangles:

  WA/YA = YA/LA

  WA = YA²/LA = 7.0²/3.5 = 14.0

Then the length of LW is ...

  LW = LA +AW = 3.5 +14.0

  LW = 17.5