Mrs. Betty made a squared cake with chocolate frosting for his neighbors to the afternoon tea. However, first she sliced a middle piece for her two grandchildren and cut it in half:
There was no leftovers from the rest of the cake after the afternoon tea.
At the end of the day, Mrs. Betty was anxiously waiting for her two grandchildren to give them the two pieces of cake. However, when they came, they brought a friend with them to also eat a slice of the famous chocolate frosting cake.
Mrs. Betty has now to cut the two slices into several pieces to divide them for the three children. How can she do it by making straight cuts in order to divide equitably the two pieces (with the same amount of sponge cake and chocolate frosting) by the three children?
Please assume that:
a) The two pieces are perfectly equal to each other;
b) The two pieces are perfectly rectangular;
c) The thickness of the frosting is the same on the entire cake.
Mrs. Betty can solve the challenge with four straight cuts!
I read a similar puzzle on an old book of mine, but since it was too easy, I decided to create this more elaborated version of it.
Sorry, I forgot! No measurements allowed! Imagine Mrs. Betty has only a straightedge and a compass to help her (like an Euclidian postulate).