Mathematics, 08.02.2021 01:40 60744

The quadrilateral shown meets the following criteria, but it is drawn not to scale. - One diagonal is on the x-axis and the other is on the y-axis.
- The sum of the lengths of the diagonal is 9 units.
- The vertices of the quadrilateral have integer coordinates.
- The area of the quadrilateral is 10 square units.
How many such convex quadrilaterals exist? Note that two quadrilaterals are different if at least one vertex is different.

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