Did you solve it? Five shady puzzles

Earlier today I set you five puzzles from More Geometry Snacks. Here are the questions each followed by two methods of solution. Sometimes the simple action of drawing in a few extra lines reveals the solution clearly. 1. A point inside a square is connected to its four vertices. What fraction of the square is…

Why is this line so long?

One line spreads the risk of slowdowns out over the whole group. Credit: James R. Martin/Shutterstock.com Warning: After reading this article, you will never again stand in a line without thinking about how to make your wait time shorter. And as an expert in operations management, I’m here to spread the word that sometimes a…

Can you solve it? Five shady puzzles

Hi guzzlers. Today’s puzzles are about the shade, by which I mean the shaded areas in the geometrical diagrams below. The images are to be studied and contemplated, until the pleasurable moment of insight arrives… (Background help: the area of a triangle is half the base times the height. And Pythagoras’s Theorem states that the…