Let's consider the information given:
- states that this is a regular polygon
⇒ means that all the side lengths are equal
- this is a hexagon since it has six sides
To calculate the area of the hexagon:
⇒ must know the formula
[tex]Area = \frac{3\sqrt{3} }{2} s^2[/tex]
- s: length of one side --> 7 units
Let's solve: (remember we need to round the final answer to the nearest hundredth)
[tex]Area = \frac{3\sqrt{3} }{2} *7^2=73.5\sqrt{3} =127.306[/tex] ≈ 127.31 square units
Answer: 127.31 square units
Hope that helps!
