What would you look for in a word problem that might indicate that you need to use an absolute value inequality?

What could explain what happened when the time was equal to 120 minutes

The diagonals of a quadrilaretral intersect at (-1,4). one of the sides of the quadrilateral is bounded by (2,7) and (-3,5) determine the coordinates of the other side in order for the quadrilaretral to be a square.

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