Bug in a square

Calculus Level pending

In a square shaped empty room with sides length x lives a little bug. Bug is positioned in a lower right corner (point A) of the room and needs to get to the upper left corner on other side (point B), but without flying. What is the shortest distance that bug need to cross to get to the other corner (point B)?

2x x+x√2 2x√2 3x x√5

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1 solution

I J
Nov 2, 2015

If we disassemble square to its sides we can see that the shortest distance that bug needs to cross is sqrt(x^2+(2x)^2) = x√5

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