- It’s easy to cut a rectangle into halves.
- This will cut both rectangles in half.
What is the difference between halves and half?
There are two answers, and it’s best to get both. "It’s easy to cut a rectangle into halves." All you have to do is make sure that the cut passes through the precise center of the rectangle. The cut can be at any angle. Here we have two rectangles, a positive one (the cake) and a negative one (the missing piece).
Decide where the centers of the two rectangles are. These two points make a line. Make a cut along that line, and the cake will be split evenly. "This will cut both rectangles in half", so each piece will equal half of the cake plus half of the missing piece. In other words, both of the resulting pieces have the same area.