HMMT 二月 2002 · GEN2 赛 · 第 5 题
HMMT February 2002 — GEN2 Round — Problem 5
题目详情
- 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
- 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? √ 4 Solution: The hexagon is composed of six equilateral triangles each of side length 3 √ √ 4 3 9 (with base b = 3 and height b ), so the total area is . 2 2