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I have 2 rectangles in a 2D plane, only in the first quadrant with limit 2000 x 2000:

A (black) & B (red)
Look at the attached image

Both can change positions (coordinates, X & Y).
B has fixed dimensions (width & height), always known.
A's dimension can change, but they are always known.

I will always know the top and left coordinates of A & B (which can keep on changing) and can shift the rectangles to other quadrant.

Kindly look at the images below:

Open image in new tab

How do I determine whether more than 50% area of the red rectangle (B) is inside the black rectangle (A)?

I understand that (area of B intersected by A) divided by Area of A should be > 0.5. How do I take care of the coordinate system within 2000, 2000, and cases where A might be too small to fit B?

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