CAYLEY 2013 Problem 22

In the diagram, PQRS is a rectangle. Point T is outside the rectangle so that \triangle{PTQ} is an isosceles right-angled triangle with hypotenuse PQ. If PQ=4 and QR=3, then the area of \triangle{PTR} is

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Answer Choices
A. 5
B. 6
C. 7
D. 8
E. 9