What is the area of a regular hexagon with a side length of 6 yd? Enter your answer in the box. Round only your final answer to the nearest hundredth.

___yd²

Respuesta :

Your answer would be 93.53

Answer: [tex]93.53\ \text{yd}^2[/tex]

Step-by-step explanation:

Given: The side-length of a regular hexagon = 6 yards

The area of regular hexagon is given by  :-

[tex]\text{Area}=\frac{3\sqrt{3}}{2}\text{(side)}^2[/tex]

Substitute side = 6 yards in the above formula, we get

[tex]\text{Area}=\frac{3\sqrt{3}}{2}(6)^2\\\\\Rightarrow\text{Area}=93.5307436087\approx93.53\ \text{yd}^2[/tex]