There is a regular hexagon living room with a side length of 4 m, which is densely paved with regular triangle tiles with a side length of 1 m A. 54 B. 72 C. 96 D. 128

There is a regular hexagon living room with a side length of 4 m, which is densely paved with regular triangle tiles with a side length of 1 m A. 54 B. 72 C. 96 D. 128

An equilateral hexagon is divided into six congruent equilateral triangles. It is easy to get that the side length of each equilateral triangle is 4 m, the height is 23 m, and the area of an equilateral hexagon is 6 × 12 × 4 × 23 = 243 m2. Similarly, the area of an equilateral triangle with a side length of 1 m is 12 × 1 × 32 = 34 m2, and the area of an equilateral triangle with a side length of 1 m is 243 △ 34 = 96