What would be the side length of the smallest square plate on which a 40-cm chopstick can fit along a diagonal without any overhang? (correct answer will get reward)

The side length of the smallest square plate will be 28.28 cm.

Step-by-step explanation:

The length of the chopstick = 40 cm

If chopstick is placed diagonally in a square plate, we can assume that it forms a right angle triangle with two sides of the square.

So, lets say the side of the square is x

Then according to Pythagoras theorem, we can conclude:

=>

=>

=>

=>

=>

x =

So, the side length of the smallest square plate will be 28.28 cm.