Geometry Puzzle – Challenge 65
If a square’s side increases by 20%, by what percent does the area increase? Areas scale by the square of the linear scale factor. New side = 1.2 times original. New area = (1.2)^2 = 1.44 times original — that is a 44% increase. Key takeaways: For a square, area = side^2. If side scales […]
Geometry Puzzle – Challenge 64
How many minutes does it take an hour hand to sweep 540 degrees? The hour hand moves 30 degrees per hour, so 540 degrees is 18 hours, which is 1080 minutes. The trick is connecting the angle-per-hour rate (30 degrees/hour) to the question. Key takeaways: A clock has 12 hour sections; 360/12 = 30 degrees […]
