Confusion regarding quant problem understanding


According to GregMat, we shouldn’t guess that the shaded area is actually half of total since no information is given, however, the answer is given as 36, which means it is considered that the shaded area is half of the total area. Please explain. (question from official guide)

You’re told that it’s a square.

That gives me the length and breadth of the rectangle, no information regarding the area that is shaded is given.

Well you know that QSPT is a rectangle. That allows you to deduce the area of triangle QSP is.