MathDB

Let

R

be the set of all rectangles centered at the origin and with perimeter

1

(the center of a rectangle is the intersection point of its two diagonals). Let

S

be a region that contains all of the rectangles in

R

(region

A

contains region

B

, if

B

is completely inside of

A

). The minimum possible area of

S

has the form

\pi a

, where

a

is a real number. Find

1/a

Problem Statement