In the larger square, there is a smaller square formed by lines connecting each corner to the midpoint of one of the sides.

**Question**: What fraction of the larger square is the smaller filled square?

Puzzles involving any geometry, including shapes, areas, distances, and angles

In the larger square, there is a smaller square formed by lines connecting each corner to the midpoint of one of the sides.

**Question**: What fraction of the larger square is the smaller filled square?

What is the perimeter of the outer rectangle? All angles shown are right angles.

Continue reading “Unclear Perimeter”Try to place five points in (or on the perimeter of) an equilateral triangle with side length 10, as to maximize the distance between the points.

What is the greatest possible distance between the two closest points?

Continue reading “Five’s a Crowd”