MathDB

A subset

\bf{S}

of the plane is called convex if given any two points

x

and

y

\bf{S}

, the line segment joining

x

and

y

is contained in

\bf{S}

. A quadrilateral is called convex if the region enclosed by the edges of the quadrilateral is a convex set.
Show that given a convex quadrilateral

Q

of area

1

, there is a rectangle

R

of area

2

such that

Q

can be drawn inside

R

5