There is a rectangle, the lower left is always fixed at co-ordinate $(0, 0)$. Let the width and height of the rectangle be $w$ and $h$. Let $P$ be a randomly chosen point from the rectangle with co-ordinates $(x,y)$, $x\geq 0$ and $x\leq w$, $y\geq 0$ and $y\leq h$. $x$ and $y$ can be any real number satisfying the constraint above.
What is the probability that the area of the rectangle whose lower left is $(0,0)$ and upper right is $P(x, y)$ (Hence, the area is $x\cdot y$) is greater than $A$? $w$, $h$ and $A$ will be provided.