Square it

Geometry Level 2

PQRS is a square with 3 ellipse and a circle touching the sides.

O is the center of ellipse E 1 and A is the center of circle.

E 1 and E 2 are identical ellipse of equal area.

AD is a tangent to the identical ellipses.

Area of E 1 is 64 pi .

Area of colored region = X - Y(pi)

X+Y is equal to

512 0 1024 640 624

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