Draw a square and divide it into six equal rectangles, for example:
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yes
Yes you can, but you have to use zig zag lines. Using straight lines there are only four ways to divide a square into two equal parts (along the lines of symmetry).
with a knife... lol... sorry couldn't help it
There are an infinite number of points on two adjacent sides of a square which can be joined to the diagonally opposite point, so there is an infinite number of ways of halving a square.
It can be done easily in an infinite number of ways. Select any point on the perimeter of the square and cut from there, through the centre of the square, to the opposite perimeter. All in a straight line.