A man leaves home, walks 4 miles west and then 2 miles southeast. If he returns directly home (i.e. walking the straight line from his current location to his home) what is his total distance traveled, to the nearest hundredth mile?

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A man leaves home, walks 4 miles west and then 2 miles southeast. If he returns directly home (i.e. walking the straight line from his current location to his home) what is his total distance traveled, to the nearest hundredth mile?