B. 259.8 u²
Step-by-step Explanation:
The area of a regular hexagon is given as:
![Area = \frac{3\sqrt{3} }{2} a^{2}](/tpl/images/0712/5992/8924d.png)
Where a = side length of the hexagon
Thus, the area of the regular hexagon with a given side length, a = 10, is calculated as follows:
![Area = \frac{3\sqrt{3} }{2} a^{2}](/tpl/images/0712/5992/8924d.png)
![Area = \frac{3\sqrt{3} }{2}* 10^{2}](/tpl/images/0712/5992/61016.png)
![= \frac{3\sqrt{3} }{2}* 100](/tpl/images/0712/5992/66915.png)
![= \frac{3*1.7321 }{2}* 100](/tpl/images/0712/5992/17b9f.png)
![= \frac{5.1963 }{2}* 100](/tpl/images/0712/5992/20a6f.png)
![= \frac{519.63 }{2}](/tpl/images/0712/5992/b671d.png)
![Area = 259.815](/tpl/images/0712/5992/82628.png)
The area of the regular hexagon ≈ 259.8 u²