21. The ratio of areas of polygons. The perimeters of a certain equilateral triangle and a regular hexagon coincide. What is the ratio of their areas?
21. The sides of a triangle and a hexagon are in the ratio 2:1. Therefore, the triangle can be cut into four, and
![](https://cdn.mathpix.com/cropped/2024_05_21_2b40d984baf9da275c68g-082.jpg?height=268&width=556&top_left_y=682&top_left_x=754)

the hexagon can be divided into six congruent triangles. Therefore, their areas are in the ratio $2:3$.

$[$ M. M., 34, $308($ May 1961).]