Jiajia wants to do some experiments on his two-eyed robot. Each eye of the robot shoots a very thin laser beam from it, which goes infinitely (i.e. a mathematical "ray"). Restricted by the internal structure, the two laser beams from the eyes must always form a right angle (i.e. two rays must be perpendicular to each other).
To help the robot localize itself, Jiajia placed two linear-shaped special materials called MA and MB. If one of the rays intersects with MA, while the other ray intersects with MB, the robot is able to gather enough spatial information for the localization.Fig. The collection of points from which the robot can localize itself.
The weird shape in the picture above is the collection of points from which the robot can localize itself. MA and MB are drawn as two line segments.
Though the task seems a little bit difficult, can you tell me the total area of these points?