Riddle: Carl is trying to find solutions to a geometric puzzle. He has a square plot of land that he needs to reserve 1/4 for himself and divide the remaining 3/4 equally and in a similar shape, among his 4 children. There are two possible solutions. Can you solve the puzzle?
Answer: Solution #1 - Squares
First, Carl divides his as to reserve to himself one-fourth in the form of a square.
Then, Carl takes the remaining 3/4 shape and scales it down by 1/4. He then, multiplies the shape into 4 identically shaped pieces, and aranges them so that they fit into the original 3/4 shape.
Solution #2 - Rectangles
First, create a triangle that is 1/4 the size of the square.
Now, with straight lines, create two squares.
Proceed to disect the two squares with horizontal lines creating 4 triangles.
Then, disect one of the resultuing triangles from each square. The shape of land for each of his four children is divided evenly and is the same shape.
Riddle: I sail the seas of the north with no captain to guide me and no crew to man me. I am feared by all who do not prepare themselves for my wrath. Ships have never defeated me head on. But when my time comes, I will finally be at peace and one with the sea. What am I?
Riddle: I come and go wherever you are in the world. I ebb and flow with colors and sound for which anyone can hear. I come and go with each person here, yet I am unique to everyone. I can grow with one, yet die with another. I age with the person I am with and live in the treetops in everybody. What am I?