A square has an area of 10 cm^2. Two straight lines are drawn across the square dividing it into four areas of 1 cm^2, 2 cm^2, 3 cm^2, and 4 cm^2.

Where can those lines be drawn?

If the 1 and the 4 are contiguous, then any line going through the center will dividing the square into a 5 and 5. Then a 2nd line can always be drawn (not through the center) diving one area into a 4 and 1 and the other into a 2 and a 3.

If the 1 and 4 are not contiguous, then neither line goes through the center. Still lots of ways to do it.

In no case are both lines parallel to the sides of the square.

*Edited on ***August 12, 2016, 10:06 am**