9514 1404 393
Answer:
LW = 17.5
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