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The Spider and the Fly

Age 14 to 16 Challenge Level:

A spider is sitting in the middle of one of the smallest walls in my living room and a fly is resting by the side of the window on the opposite wall, 1.5m above the ground and 0.5m from the adjacent wall.

The room is 5m long, 4m wide and 2.5m high.

What is the shortest distance the spider would have to crawl to catch the fly?

 

room

 

If the fly walks down the wall, is there a point at which the spider would be better changing its route?