365

Part of 1983 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 365 All Soviet Union MO 1983 4 rectangles inside rectangle, area inequality

Source:

One side of the rectangle is

1

cm. It is known that the rectangle can be divided by two orthogonal lines onto four rectangles, and each of the smaller rectangles has the area not less than

1

square centimetre, and one of them is not less than

2

square centimetres. What is the least possible length of another side of big rectangle?

geometryrectanglegeometric inequalityinequalitiesareas