Question 1210500
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In trapezoid PQRS, Base PQ is parallel to base RS. Let point X  be the intersection of diagonals PR and QS. 
The area of triangle PQR is 4 and the area of triangle QRX is 4.  Find the area of trapezoid PQRS
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The post is SELF-CONTRADICTORY and describes a situation which NEVER may happen.



Indeed, triangle QRX is a part of triangle PQR, and triangle QRX is a proper, 
i.e., smaller part of triangle PQR.


Due to this reason, the areas of triangles PQR and PRX can not be equal.


This is a contradiction, which kills the problem to the death and ruins it into dust.