No Way!!! The brownie cutting methods described in the “official answer” to “Cutting the Holey Cake” are totally bogus, and do not necessarily give an equal division.
First of all, on the “hard answer” cutting the brownie on a horizontal plane, parallel to the bottom, would not do it. Any brownie, or other cake, would not be perfectly flat. There would be some tilt, and rounding of the top… so cutting horizontally would not result in the true equal cutting in half. And besides, as pointed out, one gets the rounded top half, while the other gets the flat bottom, which do not look at all alike, so there would definitely be a “kiddie fight” no matter if it is equal or not.
Second method, using the centers of the inner and outer rectangle. This would only work if the two shapes are PERFECT rectangles. I dare say that hubby cutting a quick “rectangle” would not get it perfectly, and the geometric division method does not give exact halves.
Besides, both of these methods are much more difficult than my two suggestions, which result in perfectly equal division, completely independent of shape of the brownie or the “sampling hole” in the middle.
Method #1: Get a straightedge, such as a yardstick. Place it horizontally, on a table, with one edge up. Place the brownie on it, so that it balances, remaining horizontal. The balance line is the equal-cut line.
Method #2: Put a string through the brownie hole. Hold both ends of the string together, and lift the brownie by the string. Where the string touches the brownie, is the equal-cut line. Just extend the line to the bottom half of the brownie.