HMMT 二月 2002 · GEN1 赛 · 第 5 题
HMMT February 2002 — GEN1 Round — Problem 5
题目详情
英文原题
- A square and a regular hexagon are drawn with the same side length. If the area of the
√
square is 3, what is the area of the hexagon?
解析
英文解析
- A square and a regular hexagon are drawn with the same side length. If the area of
√
the square is 3, what is the area of the hexagon?
√
Solution: The hexagon is composed of six equilateral triangles each of side length 34
√
√
3 94
(with base b = 3 and height b ), so the total area is .
2 2