In the given diagram triangleABC is an i...

In the given diagram `triangleABC` is an isosceles right angled triangle, in which a rectangle is inscibed in such a way that the length of the rectangle in twice of breadth. Q and R lie on the hypotenuse and P, S lie on the two different smaller sides of the triangle. what is the ratio of the areas of the rectangle and that of triangle?

`sqrt2:1`

`1:sqrt2`

`1:2`

`sqrt3:2`

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