(033) O2

Part of 1983 Tournament Of Towns

Problems(1)

TOT 034 1983 Spring J-O2 J-A2 regular 4k-gon is cut into parallelograms

Source:

4k

-gon is cut into parallelograms. Prove that among these there are at least

k

rectangles.
(b) Find the total area of the rectangles in (a) if the lengths of the sides of the

4k

a

.
(VV Proizvolov, Moscow)

geometryrectangleparallelogramareasregular polygon