Riddle: A kid forgot to do his homework. For the home work, he had to draw a goat on grass. When he was in class the teacher found out that he didn't finish it. The boy was smart. He said that he did and he proved it to the teacher. Then the teacher agreed and said that he finished it in an unexpected way. What did the boy say to the teacher?
Answer: He said: I finished it. You see, there is a goat. Goats eat grass so the goat in my picture ate the grass. Now the grass is gone. But since there is no more grass left, the goat went somewhere else to find more grass to eat. That’s why the homework is blank.
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.