Calculating Moment of Inertia for Square Particle System

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Homework Statement


There are four masses (particles) with a mass of 30gr each and they are at the vertices of a square that has each side with a length of 90cm.
What is the moment of inertia of this system through a perpendicular axis that is at the center of the square?

The Attempt at a Solution


My idea is to use the moment of inertia [itex]I = mr^{2}[/itex] (Point mass m at a distance r from the axis of rotation.)
Then the distance will be the hypotenuse of a right triangle that has each side with 45cm and putting that into the moment of inertia and multiply by 4

Is this correct?
 
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Yes, that is correct.
 
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