A certain square is to be drawn on a coordinate plane. one of the vertices must be on the origin, and the square is to have an area of 100. if all coordinates of the vertices must be integers, how many different ways can this square be drawn?
It can be drawn 4 ways with one vertex always being the origin. Each quadrant can be drawn with a side length of 10. 0,0 10,0 10,10 0,10 are the points in the 1st quadrant.
