Textbook ExpertVerified Tutor
4 Dec 2021
Given information
The region consisting of all points inside a square that are closer to the centre than to the sides of the square.
Step-by-step explanation
Step 1.
Let be the point that consist all point that are closer to the centre than to the side, so if this point is multiplied by 4 then the area can be found that is asked in the problem.
Now, The distance of the point from the side is and its distance from the centre is
So, the distance are equal if
Square both sides,
Isolate